Florida
Skills available for Florida third-grade math standards
Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.
Show alignments for:
- Florida's B.E.S.T. Access Points Florida's B.E.S.T. Access Points
- Florida's B.E.S.T. Standards: Mathematical Thinking and Reasoning Standards Florida's B.E.S.T. Standards: Mathematical Thinking and Reasoning Standards
- Math Florida Standards (MAFS): Grade 3 Math Florida Standards (MAFS): Grade 3
- Math Florida Standards (MAFS): Mathematical Practices Math Florida Standards (MAFS): Mathematical Practices
Actions
Kindergarten
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Count using stickers - up to 5 (K-B.6)
- Show numbers with cubes - up to 5 (K-B.9)
- Count using stickers - up to 10 (K-C.9)
- Show numbers with cubes - up to 10 (K-C.11)
- Show numbers on ten frames - up to 20 (K-D.5)
- Fewer and more - compare by counting (K-H.2)
- Build cube trains to add up to 5 - addition sentences (K-J.5)
- Build cube trains to add up to 10 - addition sentences (K-K.7)
- Classify and sort by color (K-R.5)
- Classify and sort by shape (K-R.6)
- Classify and sort (K-R.7)
- Sort shapes into a Venn diagram (K-R.10)
- Put numbers up to 10 in order (K-R.11)
- Measure length with objects (K-U.7)
- Build cube trains to measure length (K-U.9)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Number lines - up to 10 (K-C.26)
- Count tens and ones - up to 20 (K-E.1)
- Write tens and ones - up to 20 (K-E.2)
- Add with cubes - sums up to 5 (K-J.4)
- Addition sentences up to 5 - which model matches? (K-J.7)
- Add with pictures - sums up to 10 (K-K.8)
- Addition sentences up to 10 - what does the model show? (K-K.10)
- Addition word problems with pictures - sums up to 10 (K-K.18)
- Subtract with cubes - numbers up to 5 (K-L.2)
- Subtraction sentences up to 5 - which model matches? (K-L.4)
- Subtract with pictures - numbers up to 10 (K-M.3)
- Subtraction sentences up to 10 - what does the model show? (K-M.5)
- Subtraction word problems with pictures - numbers up to 10 (K-M.10)
- Addition sentences using number lines - sums up to 10 (K)
- Subtraction sentences using number lines - up to 10 (K)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Count forward and backward - up to 20 (K-D.13)
- Complete a sequence - up to 20 (K-D.16)
- Count forward - up to 100 (K-F.10)
- Add two numbers - sums up to 10 (K-K.13)
- Complete the addition sentence - sums up to 10 (K-K.16)
- Subtract - numbers up to 10 (K-M.6)
- Complete the subtraction sentence - numbers up to 10 (K-M.8)
- Add or subtract - numbers up to 10 (K-N.2)
- Select three-dimensional shapes (K-X.7)
- Select circles, triangles, squares, and rectangles (K)
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MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Represent numbers with shapes - up to 5 (K-B.13)
- Represent numbers - up to 10 (K-C.14)
- Represent numbers - up to 20 (K-D.6)
- Fewer, more, and same (K-H.4)
- Take apart 10 using cubes (K-K.4)
- Turn words into an addition sentence - sums up to 10 (K-K.17)
- Turn words into a subtraction sentence - numbers up to 10 (K-M.9)
- Location in a grid (K-O.4)
- Same and different (K-R.3)
- Curved parts (K-W.8)
- Square corners (K-W.10)
- Compare sides and corners (K-W.14)
- Compare numbers up to 20 using words (K)
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Count shapes in rows - up to 10 (K-C.5)
- Count scattered shapes - up to 10 (K-C.6)
- Count to fill a ten frame (K-C.24)
- Count on ten frames - up to 20 (K-D.4)
- Complete a sequence - up to 20 (K-D.16)
- Counting on the hundred chart (K-F.4)
- Fewer and more - compare by matching (K-H.1)
- Take apart 10 - addition sentences (K-K.12)
- Complete the addition sentence - make 10 (K-K.15)
- Measure length with cubes (K-U.8)
- Compose two-dimensional shapes (K-W.17)
- Identify shapes traced from solids (K-X.8)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Addition word problems - sums up to 10 (K-K.19)
- Subtraction word problems - numbers up to 10 (K-M.11)
- Addition and subtraction word problems (K-N.5)
- Above and below (K-O.5)
- Beside and next to (K-O.7)
- Compare size, weight, and capacity (K-U.6)
- Shapes of everyday objects I (K-X.9)
- Shapes of everyday objects II (K-X.10)
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Grade 1
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Addition word problems with pictures - sums up to 10 (1-D.5)
- Addition sentences for word problems - sums up to 20 (1-D.13)
- Use models to add a two-digit and a one-digit number - without regrouping (1-D.17)
- Use models to add a two-digit and a one-digit number - with regrouping (1-D.21)
- Use models to add a multiple of ten and a two-digit number (1-E.14)
- Subtraction word problems with pictures - up to 10 (1-H.6)
- Subtraction sentences for word problems - up to 20 (1-H.14)
- Place value models up to 100 (1-N.3)
- Match analog and digital clocks (1-V.3)
- Read clocks and write times (1-V.4)
- Make halves and fourths in different ways (1-Y.13)
- Use models to subtract a one-digit number from a two-digit number - without regrouping (1)
- Use models to subtract a one-digit number from a multiple of ten (1)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Counting forward - up to 120 (1-A.15)
- Counting backward - up to 120 (1-A.16)
- Sequences - count up and down by 1 (1-A.27)
- Complete the addition sentence - sums up to 10 (1-D.3)
- Ways to make a number - addition sentences up to 10 (1-D.4)
- Addition facts - sums up to 20 (1-D.9)
- Complete the addition sentence - sums up to 20 (1-D.11)
- Add three numbers (1-E.16)
- Ways to make a number - subtraction sentences up to 10 (1-H.3)
- Ways to subtract from a number - subtraction sentences up to 10 (1-H.4)
- Subtraction facts - up to 20 (1-H.10)
- Complete the subtraction sentence - up to 20 (1-H.12)
- Relate addition and subtraction sentences (1-I.1)
- Fact families (1-J.3)
- Addition and subtraction facts - up to 20 (1-J.5)
- Compare numbers up to 100 using symbols (1-L.5)
- Select two-dimensional shapes (1-W.2)
- Select three-dimensional shapes (1-X.4)
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MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Addition sentences up to 10: which model matches? (1-B.3)
- Addition sentences using number lines - sums up to 10 (1-B.5)
- Add by counting on - sums up to 10 (1-E.)
- Subtraction sentences up to 10: which model matches? (1-F.3)
- Subtraction sentences using number lines - up to 10 (1-F.5)
- Compare numbers up to 100 using words (1-L.4)
- Interpret picture graphs (1-P.2)
- Interpret tally charts (1-P.4)
- Names and values of common coins (1-R.1)
- Writing numbers up to 100 in words - convert words to digits (1)
- Writing numbers up to 100 in words - convert digits to words (1)
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Count on ten frames - up to 40 (1-A.5)
- Skip-counting by twos (1-A.6)
- Skip-counting by fives (1-A.7)
- Counting tens and ones - up to 99 (1-A.11)
- Hundred chart (1-A.21)
- Related addition facts (1-D.14)
- Regroup tens and ones - ways to make a number (1-D.19)
- Add doubles (1-E.2)
- Related subtraction facts (1-H.15)
- Subtract doubles (1-I.4)
- Ten more or less (1-J.7)
- Convert between tens and ones - multiples of ten (1-N.4)
- Count pennies, nickels, and dimes (1-R.3)
- Compose two-dimensional shapes (1-W.11)
- Identify faces of three-dimensional shapes (1-X.8)
- Skip-counting patterns with twos and fives (1)
- Writing numbers up to 100 in expanded form (1)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Addition sentences: true or false? (1-D.15)
- Addition sentences: which is true? (1-D.16)
- Subtraction sentences: true or false? (1-H.16)
- Subtraction sentences: which is true? (1-H.17)
- Which sign makes the number sentence true? (1-J.2)
- Addition and subtraction sentences: which is true? (1-J.6)
- Which picture graph is correct? (1-P.1)
- Which tally chart is correct? (1-P.3)
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Addition word problems - sums up to 20 (1-D.12)
- Addition word problems - one-digit plus two-digit numbers (1-D.23)
- Subtraction word problems - up to 20 (1-H.13)
- Subtraction sentences for word problems - up to 20 (1-H.14)
- Word problems with change unknown - up to 10 (1-K.1)
- Word problems with start unknown - up to 10 (1-K.2)
- Word problems involving addition and subtraction - up to 20 (1-K.6)
- Comparison word problems up to 10 (1-K.11)
- Interpret picture graphs (1-P.2)
- Interpret tally charts (1-P.4)
- Compare objects: length and height (1-Q.2)
- Shapes of everyday objects I (1-X.9)
- Shapes of everyday objects II (1-X.10)
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Grade 2
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Exchanging money - with pictures (2-P.7)
- Least number of coins (2-P.19)
- Making change (2-P.22)
- Create bar graphs (2-R.8)
- Create pictographs I (2-R.13)
- Measure using an inch ruler (2-S.2)
- Measure using a centimeter ruler (2-S.8)
- Make halves, thirds, and fourths (2-W.9)
- Make halves, thirds, and fourths in different ways (2-W.10)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Writing numbers up to 1,000 in words - convert words to digits (2-C.5)
- Writing numbers up to 1,000 in words - convert digits to words (2-C.6)
- Ways to make a number using addition (2-G.14)
- Use models to subtract a one-digit number from a two-digit number - without regrouping (2-H.3)
- Use models to subtract a one-digit number from a two-digit number - with regrouping (2-H.5)
- Ways to make a number using subtraction (2-H.13)
- Use models to add three-digit numbers - without regrouping (2-I.3)
- Use models to add three-digit numbers - with regrouping (2-I.4)
- Use compensation to add - up to three digits (2-I.6)
- Use models to subtract from three-digit numbers - without regrouping (2-J.3)
- Use models to subtract from three-digit numbers - with regrouping (2-J.4)
- Use compensation to subtract - up to three digits (2-J.7)
- Place value models - up to hundreds (2-M.2)
- Convert between place values - ones, tens, and hundreds (2-M.13)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Complete the addition sentence - sums to 20 (2-E.18)
- Complete the subtraction sentence - up to 18 (2-F.14)
- Subtract two-digit numbers - without regrouping (2-H.8)
- Addition with three-digit numbers (2-I.5)
- Add and subtract numbers up to 20 (2-L.1)
- Add and subtract numbers - up to 100 (2-L.9)
- Ways to make a number using addition and subtraction - up to 100 (2-L.10)
- Add and subtract numbers up to 1,000 (2-L.20)
- Add and subtract money - up to $1 (2-P.14)
- Read clocks and write times (2-Q.5)
- Name polygons: up to 8 sides (2)
- Select two-dimensional shapes (2)
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MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Identify a digit up to the hundreds place (2-M.4)
- Names and values of common coins (2-P.1)
- Purchases - do you have enough money - up to $1 (2-P.16)
- How much more to make a dollar? (2-P.20)
- Time words: o'clock, half, quarter (2-Q.6)
- A.M. or P.M. (2-Q.7)
- Interpret data in tables (2-R.4)
- Interpret bar graphs I (2-R.5)
- Interpret bar graphs II (2-R.6)
- Interpret pictographs I (2-R.11)
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Even or odd (2-A.18)
- Comparing numbers up to 1,000 (2-B.2)
- Put numbers up to 1,000 in order (2-B.4)
- Add doubles (2-E.13)
- Identify repeated addition in arrays - sums to 25 (2-E.27)
- Write addition sentences for arrays - sums to 25 (2-E.28)
- Subtract doubles (2-F.4)
- Add multiples of 10 or 100 (2-I.2)
- Subtract multiples of 10 or 100 (2-J.2)
- Balance addition and subtraction equations - up to 100 (2-L.13)
- Input/output tables - add and subtract by 10 or 100 (2-L.16)
- Convert between place values - ones, tens, and hundreds (2-M.13)
- Convert from expanded form - up to hundreds (2-M.14)
- Round to the nearest ten (2-N.2)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Which addition or subtraction sentence is true? (2-L.6)
- Which sign (+ or -) makes the number sentence true? (2-L.17)
- Estimate sums (2-N.4)
- Estimate differences (2-N.5)
- Purchases - do you have enough money - up to $1 (2-P.16)
- Correct amount of change (2-P.21)
- Which tally chart is correct? (2-R.1)
- Which table is correct? (2-R.3)
- Which bar graph is correct? (2-R.7)
- Which customary unit of length is appropriate: inches, feet, or yards? (2-S.4)
- Which metric unit of length is appropriate? (2-S.9)
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Solve word problems using guess-and-check - up to 20 (2-L.4)
- Addition and subtraction word problems - up to 100 (2-L.11)
- Two-step addition and subtraction word problems - up to 100 (2-L.12)
- Add and subtract money - up to $1: word problems (2-P.15)
- Making change (2-P.22)
- Customary units of length: word problems (2-S.5)
- Metric units of length: word problems (2-S.10)
- Perimeter: word problems (2-V.2)
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Grade 3
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Addition up to four digits: fill in the missing digits (3-C.15)
- Subtraction: fill in the missing digits (3-D.10)
- Multiplication facts up to 12: select the missing factors (3-G.18)
- Division facts up to 12: select the missing numbers (3-K.16)
- Two-step addition and subtraction word problems (3-M.15)
- Two-step multiplication and division word problems (3-M.16)
- A.M. or P.M. (3-T.4)
- Graph and order fractions on number lines (3-X.14)
- Choose the appropriate measuring tool (3-Z.22)
- Draw quadrilaterals (3-BB.9)
- Create rectangles with a given area (3-DD.13)
- Find the area of complex figures (3-DD.19)
- Draw lines of symmetry (3)
- Word problems involving fractions of a whole: denominators up to 12 (3)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Place value models up to thousands (3-B.1)
- Write multiplication sentences for equal groups (3-E.3)
- Write multiplication sentences for number lines (3)
- Multiply one-digit numbers by two-digit numbers using area models I (3-H.12)
- Write division sentences for arrays (3-I.4)
- Relate multiplication and division for arrays (3-I.5)
- Find equivalent fractions using fraction strips (3-W.)
- Find equivalent fractions using area models: one model (3-W.2)
- Find equivalent fractions using number lines (3-W.4)
- Graph and compare fractions on number lines (3-X.7)
- Select two figures with the same area (3-DD.9)
- Tile a rectangle and find the area (3-DD.10)
- Multiply to find the area of a rectangle made of unit squares (3-DD.11)
- Match fractions to models: denominators up to 12 (3)
- Fractions of number lines: denominators up to 12 (3)
- Match fractions written with words to models: denominators up to 12 (3)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
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MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Even or odd: addition patterns (3-A.2)
- Even or odd: multiplication patterns (3-A.3)
- Skip-counting puzzles (3-A.5)
- Number sequences (3-A.6)
- Relate addition and multiplication for equal groups (3-E.4)
- Multiply by a multiple of ten using place value (3-H.1)
- Relate multiplication and division (3-N.11)
- Solve for the variable: multiplication and division only (3-O.3)
- Write variable equations to represent word problems: multiplication and division only (3-O.5)
- Round to the nearest ten or hundred (3-P.2)
- Find equivalent fractions using area models: two models (3-W.1)
- Find equivalent fractions using number lines (3-W.4)
- Find fractions equivalent to whole numbers (3-W.11)
- Number sequences: word problems (3)
- Multiplication patterns: multiples of 10 and 100 (3)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Multiplication sentences up to 10: true or false? (3-G.14)
- Division sentences up to 10: true or false? (3-K.12)
- Multiplication and division facts up to 10: true or false? (3-M.5)
- Estimate sums by rounding: up to 1,000 (3-P.7)
- Estimate sums by rounding: word problems (3-P.9)
- Estimate differences by rounding: up to 1,000 (3-P.11)
- Estimate differences by rounding: word problems (3-P.13)
- Estimate sums and differences: word problems (3-P.16)
- Two-step word problems: identify reasonable answers (3-P.19)
- Choose the appropriate measuring tool (3-Z.22)
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Find the perimeter: word problems (3)
- Addition and subtraction word problems (3-M.10)
- Multiplication and division word problems (3-M.11)
- Two-step mixed operation word problems (3-M.17)
- Elapsed time word problems: find the elapsed time (3-T.9)
- Create bar graphs (3-U.8)
- Create line plots (3-U.10)
- Create pictographs (3-U.13)
- Measurement word problems (3-Z.4)
- Find the area of rectangles: word problems (3-DD.17)
- Modeling word problems involving fractions of a whole: denominators up to 12 (3)
- Word problems involving fractions of a whole: denominators up to 12 (3)
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Grade 4
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Create line plots (4-I.7)
- Create stem-and-leaf plots (4-I.12)
- Compare and convert metric units (4)
- Equivalent fractions: find the missing numerator or denominator (4-O.9)
- Graph and order fractions on number lines (4-O.24)
- Graph decimals on number lines (4-S.8)
- Measure angles on a circle (4-Y.5)
- Measure angles with a protractor (4-Y.6)
- Draw angles with a protractor (4-Y.7)
- Compare and convert customary units (4)
- Find all factor pairs of a number: up to 144 (4)
- Choose numbers with a particular product: factors up to 12 (4)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Multiply 1-digit numbers by 3-digit numbers using area models II (4)
- Multiply 2-digit numbers by 2-digit numbers using area models II (4-D.37)
- Divide 2-digit numbers by 1-digit numbers using area models (4-E.7)
- Divide 3-digit numbers by 1-digit numbers using area models (4-E.15)
- Graph and compare fractions with like numerators or denominators on number lines (4-O.15)
- Decompose fractions into unit fractions using models (4-P.1)
- Add fractions with like denominators using strip models (4-P.6)
- Subtract fractions with like denominators using strip models (4-P.10)
- Add and subtract fractions with like denominators using number lines (4-P.13)
- Multiply fractions by whole numbers using number lines (4-R.7)
- Multiply fractions by whole numbers using models (4-R.8)
- Add decimals using blocks (4-T.1)
- Subtract decimals using blocks (4-T.)
- Compare decimals using place value blocks (4)
- Put decimal numbers in order using a number line (4)
- Put decimal numbers in order using models (4)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Multiplication facts to 12 (4-D.4)
- Multiply 1-digit numbers by 2-digit numbers (4-D.15)
- Use one multiplication fact to complete another (4-D.31)
- Multiply a 2-digit number by a 2-digit number (4-D.42)
- Division facts to 12 (4-E.3)
- Divide 2-digit numbers by 1-digit numbers (4-E.11)
- Divide larger numbers by 1-digit numbers (4-E.17)
- Compare fractions (4-O.21)
- Order fractions (4-O.26)
- Add and subtract fractions with like denominators (4-P.14)
- Add and subtract mixed numbers with like denominators (4-P.19)
- Add and subtract decimals (4-T.4)
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MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Use one multiplication fact to complete another (4-D.31)
- Multiply numbers ending in zeroes (4)
- Division patterns over increasing place values (4-E.22)
- Use a rule to complete a number pattern (4-K.5)
- What is true about the given pattern? (4-K.6)
- What is true about the pattern made by the rule? (4-K.7)
- Patterns of equivalent fractions (4-O.12)
- Decompose fractions multiple ways (4-P.4)
- Add fractions: denominators 10 and 100 (4-Q.1)
- Divide numbers ending in zeroes (4)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Angles greater than, less than, or equal to a right angle (4)
- Estimate products: multiply by 2-digit numbers (4-D.33)
- Estimate products word problems: identify reasonable answers (4-D.35)
- Estimate quotients using compatible numbers: 1-digit divisors (4-E.24)
- Divide by 1-digit numbers: pick the better estimate (4-E.25)
- Benchmark fractions (4-O.18)
- Compare fractions using benchmarks (4-O.19)
- Compare fractions using benchmarks: find the missing numerator (4-O.20)
- Estimate angle measurements (4-Y.8)
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Write variable equations to represent word problems: multiplication and division (4)
- Multi-step word problems involving remainders (4-F.13)
- Find the change, price, or amount paid (4-L.7)
- Price lists with addition and subtraction (4-L.8)
- Multi-step word problems with money: addition and subtraction only (4-L.9)
- Measurement word problems (4-M.2)
- Elapsed time: word problems (4-N.7)
- Find start and end times: multi-step word problems (4-N.8)
- Add and subtract mixed numbers with like denominators in recipes (4)
- Multiply fractions by whole numbers: word problems (4-R.13)
- Add and subtract decimals: word problems (4-T.5)
- Use area and perimeter to determine cost (4-AA.16)
- Distance or time word problems (4)
- Add and subtract fractions and mixed numbers with like denominators: word problems (4)
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Grade 5
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Objects on a coordinate plane (5-T.2)
- Coordinate planes as maps (5-T.7)
- Follow directions on a coordinate plane (5-T.8)
- Multi-step problems with customary unit conversions (5-Y.11)
- Multi-step problems with metric unit conversions (5-Y.21)
- Multi-step problems with customary or metric unit conversions (5-Y.22)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Compose and decompose decimals in multiple ways (5-G.8)
- Multiply a decimal by a one-digit whole number using blocks (5-I.6)
- Multiply a decimal by a two-digit whole number using area models (5-I.9)
- Multiply decimals using grids (5-I.14)
- Divide decimals using blocks: complete the equation (5-J.4)
- Divide decimals using area models: complete the equation (5-J.5)
- Add fractions with unlike denominators using models (5-L.6)
- Subtract fractions with unlike denominators using models (5-L.9)
- Multiply two fractions using models (5-M.20)
- Divide unit fractions and whole numbers using area models (5-N.5)
- Write numerical expressions: two operations (5-O.4)
- Write numerical expressions for word problems (5-P.2)
- Write variable equations: word problems (5-U.4)
- Complete a table for a two-variable relationship (5-U.8)
- Volume of rectangular prisms made of unit cubes (5-DD.13)
-
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Multiply 2-digit numbers by 3-digit numbers (5-C.15)
- Multiply by 3-digit numbers (5-C.19)
- Divide 2-digit and 3-digit numbers by 2-digit numbers (5-D.14)
- Add and subtract decimal numbers (5-H.4)
- Multiply a decimal by a one-digit whole number (5-I.8)
- Multiply two decimals: products up to hundredths (5-I.16)
- Division with decimal quotients (5-J.6)
- Add fractions with unlike denominators (5-L.8)
- Subtract fractions with unlike denominators (5-L.11)
- Multiply two fractions (5-M.21)
- Divide unit fractions and whole numbers (5-N.6)
- Graph points on a coordinate plane (5-T.3)
- Graph points from a table (5-T.4)
- Conversion tables - customary units (5-Y.6)
- Conversion tables - metric units (5-Y.18)
- Divide 5-digit numbers by 2-digit numbers (5)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Understand fractions as division: word problems (5-K.17)
- Scaling whole numbers by fractions: justify your answer (5-M.23)
- Identify mistakes involving the order of operations (5-O.8)
- Evaluate numerical expressions with parentheses in different places (5-O.9)
- Write numerical expressions for word problems (5-P.2)
- Classify triangles (5-AA.3)
- Classify quadrilaterals (5-AA.9)
- Identify three-dimensional figures (5-CC.1)
- Count vertices, edges, and faces (5-CC.2)
-
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Divide by 2-digit numbers using partial quotients (5-D.13)
- Relationship between decimal place values (5-G.6)
- Multiply a decimal by a power of ten (5-I.3)
- Decimal division patterns over increasing place values (5-J.2)
- Understand fraction multiplication and area (5-M.30)
- Compare patterns (5-S.2)
- Identify the relationships between quadrilaterals (5)
- Volume of rectangular prisms made of unit cubes (5-DD.13)
- Multiply and divide decimals by 0.1 and 0.01 (5)
- Input/output tables: find the rule (5)
-
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Compare, order, and round decimals: word problems (5-G.16)
- Estimate sums and differences of decimals using rounding (5-H.9)
- Estimate products of decimals (5-I.2)
- Estimate decimal quotients (5-J.9)
- Estimate sums and differences of fractions using benchmarks (5-L.10)
- Estimate products of mixed numbers (5-M.32)
- Identify mistakes involving the order of operations (5-O.8)
- Equations with mixed operations: true or false (5-O.13)
- Multi-step word problems: identify reasonable answers (5-P.5)
-
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Add and subtract decimals: word problems (5-H.5)
- Add and subtract fractions with unlike denominators: word problems (5-L.12)
- Add and subtract mixed numbers: word problems (5-L.21)
- Add and subtract fractions in recipes (5-L.22)
- Multiplication with mixed numbers: word problems (5-M.40)
- Multiply fractions and mixed numbers in recipes (5-M.41)
- Divide unit fractions and whole numbers: word problems (5-N.7)
- Multi-step word problems (5-P.3)
- Multi-step word problems involving remainders (5-P.4)
- Add and subtract money: word problems (5-R.2)
- Multi-step problems with customary or metric unit conversions (5-Y.22)
- Volume of cubes and rectangular prisms: word problems (5-DD.18)
-
Grade 6
-
IXL skills to support mathematical thinking and reasoning include the following, among others:
-
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Understanding integers (6-M.1)
- Graph integers on horizontal and vertical number lines (6-M.3)
- Graph points on a coordinate plane (6-X.3)
- Graph inequalities on number lines (6-AA.2)
- Write and graph inequalities: word problems (6-AA.4)
- Create histograms (6-GG.15)
- Graph quadrilaterals on the coordinate plane (6)
-
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Multiply two fractions using models (6-K.5)
- Divide whole numbers and fractions using models (6-L.)
- Divide fractions using models (6-L.5)
- Divide fractions and mixed numbers using models (6-L.8)
- Add integers using counters (6-N.1)
- Add integers using number lines (6-N.2)
- Subtract integers using counters (6-N.4)
- Subtract integers using number lines (6-N.5)
- Understand multiplying by a negative integer using a number line (6-N.11)
- Convert fractions to percents using grid models (6-S.3)
- Solve percent problems using strip models (6-S.10)
- Area and perimeter of squares and rectangles on the coordinate plane (6-X.9)
- Write and solve equations that represent diagrams (6-Z.7)
- Write multiplication expressions using exponents (6)
- Identify equivalent expressions I (6)
- Identify equivalent expressions II (6)
- Model and solve addition and subtraction equations using diagrams (6)
- Model and solve multiplication and division equations using diagrams (6)
-
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Multiply decimals (6-H.3)
- Multiply two fractions (6-K.6)
- Divide fractions (6-L.6)
- Absolute value (6-M.6)
- Add and subtract integers: input/output tables (6-N.9)
- Evaluate numerical expressions involving whole numbers (6-O.4)
- Add, subtract, multiply, or divide two integers (6-O.12)
- Absolute value of rational numbers (6-P.8)
- Convert between percents, fractions, and decimals (6-S.4)
- Evaluate variable expressions with decimals, fractions, and mixed numbers (6-Y.6)
- Solve one-step equations with whole numbers (6-Z.10)
- Calculate mean, median, mode, and range (6-HH.2)
- Divide decimals by whole numbers (6)
- Division with decimal divisors (6)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Greatest common factor (6-E.8)
- Least common multiple (6-E.10)
- GCF and LCM: word problems (6-E.12)
- Understanding opposite integers (6-M.4)
- Identify mistakes involving the order of operations (6-O.5)
- Rational numbers: find the sign (6-P.11)
- Write equivalent expressions using properties (6-Y.19)
- Interpret line plots (6-GG.3)
- Interpret histograms (6-GG.14)
- Describe distributions in line plots (6-HH.11)
-
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Prime factorization with exponents (6-E.7)
- Add and subtract integers: find the sign (6-N.7)
- Multiply integers: find the sign (6-N.12)
- Divide integers: find the sign (6-N.14)
- Write a ratio (6-R.1)
- Write a ratio using a fraction (6-R.2)
- Ratio tables (6-R.7)
- Equivalent rates (6-R.10)
- Ratios and rates: word problems (6-R.15)
- Multiply using the distributive property: area models (6-Y.13)
- Factor numerical expressions using the distributive property (6-Y.15)
- Evaluate exponents with whole number bases (6)
-
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
-
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Divide fractions by whole numbers in recipes (6-L.4)
- Divide fractions and mixed numbers: word problems (6-L.10)
- Absolute value and integers: word problems (6-M.10)
- Ratios and rates: word problems (6-R.15)
- Percents of numbers: word problems (6-S.12)
- Find what percent one number is of another: word problems (6-S.15)
- Convert between Celsius and Fahrenheit (6-T.11)
- Which is the better coupon? (6-V.1)
- Unit prices with customary unit conversions (6-V.4)
- Sale prices (6-V.5)
- Solve one-step equations: word problems (6-Z.16)
- Volume of cubes and rectangular prisms: word problems (6-FF.20)
- Multi-step word problems with rational numbers (6)
-
Grade 7
-
IXL skills to support mathematical thinking and reasoning include the following, among others:
-
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Identify proportional relationships by graphing (7-K.3)
- Graph a proportional relationship: word problems (7-K.9)
- Write and solve equations for proportional relationships (7-K.11)
- Percent of a number: tax, discount, and more (7-M.6)
- Find the percent: tax, discount, and more (7-M.8)
- Convert between customary and metric systems (7-O.6)
- Graph solutions to one-step inequalities (7-T.5)
- Area of compound figures made of rectangles (7-Y.11)
- Area of compound figures with triangles (7-Y.12)
- Create line plots (7-CC.3)
- Create stem-and-leaf plots (7-CC.6)
- Create bar graphs (7-CC.8)
- Create histograms (7-CC.10)
-
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Write equations for proportional relationships from tables (7-K.2)
- Write equations for proportional relationships from graphs (7-K.5)
- Complete a table and graph a proportional relationship (7-K.8)
- Convert between percents, fractions, and decimals (7-L.2)
- Identify equivalent linear expressions II (7-R.22)
- Model and solve equations using algebra tiles (7-S.4)
- Write and solve equations that represent diagrams (7-S.5)
- Identify equivalent expressions involving whole-number exponents (7)
-
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Add and subtract rational numbers (7-H.12)
- Multiply and divide rational numbers (7-H.18)
- Evaluate numerical expressions involving exponents (7-I.7)
- Solve proportions (7-J.11)
- Percent of change (7-L.10)
- Convert between customary and metric systems (7-O.6)
- Add and subtract linear expressions (7-R.16)
- Solve two-step equations (7-S.9)
- Solve one-step inequalities (7-T.4)
- Calculate mean, median, mode, and range (7-DD.1)
- Probability of simple events (7-EE.1)
- Multiplication with exponents (7)
- Power rule (7)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
-
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Solve equations with variable exponents (7-I.3)
- Do the ratios form a proportion: word problems (7-J.10)
- Surface area of cylinders (7-Y.17)
- Volume of cylinders (7-Y.22)
- Scale drawings: word problems (7-Z.2)
- Scale drawings: scale factor word problems (7-Z.3)
- Box plots (7-CC.16)
- Mean, median, mode, and range: find the missing number (7-DD.3)
- Experimental probability (7-EE.4)
- Area of a parallelogram (7)
- Area of a trapezoid (7)
-
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
-
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Add, subtract, multiply, and divide decimals: word problems (7-E.9)
- Add, subtract, multiply, and divide fractions and mixed numbers: word problems (7-G.16)
- Solve percent equations: word problems (7-L.9)
- Percent of change: word problems (7-L.11)
- Add, subtract, multiply, and divide money amounts: word problems (7-M.1)
- Multi-step problems with percents (7-M.10)
- Simple interest (7-M.12)
- Multi-step word problems with positive rational numbers (7-N.2)
- Solve two-step equations: word problems (7-S.11)
- One-step inequalities: word problems (7-T.6)
- Circles: word problems (7-Y.7)
-
Grade 8
-
IXL skills to support mathematical thinking and reasoning include the following, among others:
-
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Identify proportional relationships by graphing (8-K.3)
- Graph proportional relationships and find the slope (8-K.9)
- Pythagorean theorem: find the missing leg or hypotenuse length (8-T.3)
- Solve multi-step equations: complete the solution (8-Y.18)
- Create equations with no solutions or infinitely many solutions (8-Y.20)
- Graph solutions to two-step inequalities (8-Z.7)
- Graph a line using slope (8-AA.5)
- Graph a line from an equation in slope-intercept form (8-AA.6)
- Checkpoint: Sketch and describe graphs (8-BB.30)
- Write equations for lines of best fit (8-FF.11)
- Compound events: find the number of outcomes (8-GG.6)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Evaluate expressions using properties of exponents (8-D.13)
- Identify equivalent expressions involving exponents II (8-D.15)
- Checkpoint: Proportional relationships (8-K.16)
- Write a linear equation from a graph (8-AA.9)
- Write a linear equation from two points (8-AA.11)
- Write a linear function from a table (8-BB.14)
- Complete a table for a function graph (8-BB.24)
- Solve a system of equations by graphing: word problems (8-CC.3)
- Multiply and divide monomials (8-DD.8)
- Powers of monomials (8-DD.9)
- Similar triangles and indirect measurement (8)
- Side lengths of similar triangles (8)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Evaluate numerical expressions involving integers (8-C.8)
- Evaluate negative exponents (8-D.7)
- Multiplication and division with exponents (8-D.11)
- Power rule (8-D.12)
- Checkpoint: Integer exponents (8-D.16)
- Add and subtract numbers written in scientific notation (8-E.4)
- Multiply numbers written in scientific notation (8-E.5)
- Divide numbers written in scientific notation (8-E.6)
- Evaluate numerical expressions involving rational numbers (8-H.9)
- Solve equations with variables on both sides: fractional coefficients (8-Y.13)
- Solve multi-step equations (8-Y.15)
- Solve equations: mixed review (8-Y.17)
- Solve two-step inequalities (8-Z.6)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Identify complementary, supplementary, vertical, adjacent, and congruent angles (8-Q.14)
- Identify reflections, rotations, and translations (8-R.4)
- Dilations: find the scale factor (8-S.4)
- Interpret the slope and y-intercept of a linear function (8-BB.13)
- Checkpoint: Construct and interpret linear functions (8-BB.29)
- Identify trends with scatter plots (8-EE.17)
- Identify lines of best fit (8-FF.10)
- Checkpoint: Rational and irrational numbers (8)
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Triangle inequality (8)
- Understanding negative exponents (8-D.6)
- Convert between standard and scientific notation (8-E.1)
- Find missing angles in triangles using ratios (8-Q.8)
- Triangle Angle-Sum Theorem (8-Q.9)
- Find missing angles in quadrilaterals II (8-Q.11)
- Exterior Angle Theorem (8-Q.12)
- Find the slope of a graph (8-AA.1)
- Find the slope from two points (8-AA.2)
- Interpret points on the graph of a linear function (8-BB.12)
- Identify linear and nonlinear functions: graphs and equations (8-BB.19)
- Identify linear and nonlinear functions: tables (8-BB.20)
- Checkpoint: Understand functions (8-BB.26)
- Find the number of solutions to a system of equations by graphing (8-CC.4)
- Common monomial factors (8)
- Factor out a monomial (8)
- Checkpoint: The Pythagorean theorem (8)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
-
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
-
Grade 9
-
IXL skills to support mathematical thinking and reasoning include the following, among others:
-
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Graph solutions to advanced linear inequalities (A1-K.11)
- Graph solutions to compound inequalities (A1-K.15)
- Interpret bar graphs, line graphs, and histograms (A1-N.5)
- Create bar graphs, line graphs, and histograms (A1-N.6)
- Interpret circle graphs (A1-N.7)
- Interpret stem-and-leaf plots (A1-N.8)
- Box plots (A1-N.9)
- Slope-intercept form: graph an equation (A1-T.7)
- Standard form: graph an equation (A1-T.20)
- Point-slope form: graph an equation (A1-T.23)
- Graph a two-variable linear inequality (A1-U.3)
- Solve systems of linear inequalities by graphing (A1-U.7)
- Solve a system of equations by graphing (A1-V.2)
- Find the number of solutions to a system of equations by graphing (A1-V.4)
- Graph exponential functions (A1-Y.2)
- Add polynomials to find perimeter (A1-AA.5)
- Graph quadratic functions in vertex form (A1-CC.5)
- Graph an absolute value function (A1-EE.2)
- Checkpoint: Graph linear functions (A1)
-
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Find values using function graphs (A1-Q.6)
- Complete a function table from an equation (A1-Q.13)
- Slope-intercept form: write an equation from a graph (A1-T.8)
- Slope-intercept form: write an equation from a table (A1-T.10)
- Complete a table and graph a linear function (A1-T.14)
- Point-slope form: write an equation from a graph (A1-T.25)
- Write a linear inequality from a graph (A1-U.4)
- Match exponential functions and graphs I (A1-Y.3)
- Match exponential functions and graphs II (A1-Y.4)
- Add and subtract polynomials using algebra tiles (A1-AA.3)
- Multiply two binomials using algebra tiles (A1-AA.7)
- Multiply polynomials using area models (A1-AA.10)
- Factor quadratics using algebra tiles (A1-BB.3)
- Match quadratic functions and graphs (A1-CC.15)
- Write equations in standard form (A1)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Solve advanced linear inequalities (A1-K.10)
- Solve compound inequalities (A1-K.14)
- Solve absolute value equations (A1-L.1)
- Solve a system of equations using any method (A1-V.14)
- Simplify expressions involving rational exponents (A1-W.16)
- Multiply and divide monomials (A1-Z.4)
- Powers of monomials (A1-Z.5)
- Add and subtract polynomials (A1-AA.4)
- Multiply two binomials (A1-AA.8)
- Multiply polynomials (A1-AA.11)
- Factor quadratics with leading coefficient 1 (A1-BB.4)
- Factor quadratics with other leading coefficients (A1-BB.5)
- Simplify radical expressions (A1-FF.1)
- Add and subtract radical expressions (A1-FF.5)
- Multiply radicals (A1)
- Checkpoint: Exponents and radicals (A1)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Interpret bar graphs, line graphs, and histograms (A1-N.5)
- Interpret circle graphs (A1-N.7)
- Interpret stem-and-leaf plots (A1-N.8)
- Box plots (A1-N.9)
- Interpret functions using everyday language (A1-Q.17)
- Compare linear functions: tables, graphs, and equations (A1-T.16)
- Interpret the slope and y-intercept of a linear function (A1-T.17)
- Domain and range of exponential functions: graphs (A1-Y.5)
- Domain and range of exponential functions: equations (A1-Y.6)
- Characteristics of quadratic functions: graphs (A1-CC.1)
- Characteristics of quadratic functions: equations (A1-CC.2)
- Using the discriminant (A1-CC.12)
- Interpret parts of quadratic expressions: word problems (A1-CC.)
- Domain and range of absolute value functions: graphs (A1-EE.3)
- Domain and range of absolute value functions: equations (A1-EE.4)
- Correlation and causation (A1-MM.16)
- Checkpoint: Interpret expressions and equations (A1)
-
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Rearrange multi-variable equations (A1-I.11)
- Find values using function graphs (A1-Q.6)
- Evaluate a function (A1-Q.7)
- Linear equations: solve for y (A1-T.12)
- Transformations of linear functions (A1-T.29)
- Evaluate integers raised to rational exponents (A1-W.12)
- Multiply two binomials: special cases (A1-AA.9)
- Factor quadratics: special cases (A1-BB.6)
- Transformations of quadratic functions (A1-CC.4)
- Solve a quadratic equation using square roots (A1-CC.6)
- Solve a quadratic equation using the zero product property (A1-CC.7)
- Solve a quadratic equation by factoring (A1-CC.8)
- Solve a quadratic equation by completing the square (A1-CC.10)
- Solve a quadratic equation using the quadratic formula (A1-CC.11)
- Identify linear, quadratic, and exponential functions from graphs (A1-DD.2)
- Identify linear, quadratic, and exponential functions from tables (A1-DD.4)
- Compare linear, exponential, and quadratic growth (A1-DD.12)
- Transformations of absolute value functions: translations and reflections (A1-EE.5)
- Simplify radical expressions (A1-FF.1)
- Simplify radicals with fractions (A1)
- Checkpoint: Evaluate and compare functions (A1)
- Checkpoint: Solve quadratic equations (A1)
-
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
- Is (x, y) a solution to the system of equations? (A1-V.1)
- Classify a system of equations (A1-V.7)
- Interpret a scatter plot (A1-MM.8)
- Write equations for lines of best fit (A1-MM.12)
- Find the equation of a regression line (A1-MM.13)
- Interpret regression lines (A1-MM.14)
- Checkpoint: Represent and interpret data (A1)
-
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
- Simple interest (A1)
- Compound interest (A1)
- Solve one-step and two-step linear equations: word problems (A1-J.10)
- Slope-intercept form: write an equation from a word problem (A1-T.11)
- Write and solve two-variable linear equations: word problems (A1-T.13)
- Write two-variable inequalities: word problems (A1-U.5)
- Solve a system of equations using any method: word problems (A1-V.15)
- Write exponential functions: word problems (A1-Y.)
- Exponential growth and decay: word problems (A1-Y.7)
- Find probabilities using two-way frequency tables (A1-LL.3)
- Analyze a regression line of a data set (A1-MM.15)
- Continuously compounded interest (A1)
- Checkpoint: Linear modeling (A1)
- Checkpoint: Exponential functions (A1)
- Checkpoint: Two-way frequency tables (A1)
-
Grade 10
-
IXL skills to support mathematical thinking and reasoning include the following, among others:
-
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Construct a congruent segment (G-B.8)
- Construct the midpoint or perpendicular bisector of a segment (G-B.15)
- Construct an angle bisector (G-C.7)
- Construct a congruent angle (G-C.8)
- Translations: graph the image (G-L.2)
- Reflections: graph the image (G-L.5)
- Rotations: graph the image (G-L.8)
- Sequences of congruence transformations: graph the image (G-L.11)
- Dilations: graph the image (G-L.15)
- Construct the inscribed or circumscribed circle of a triangle (G-U.22)
- Checkpoint: Inscribed and circumscribed circles (G-U.24)
- Graph circles from equations in standard form (G-V.8)
- Graph circles from equations in general form (G-V.9)
- Checkpoint: Rigid motion and congruence (G)
- Checkpoint: Geometric constructions (G)
-
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Transversals of parallel lines: solve for x (G-D.5)
- Slopes of parallel and perpendicular lines (G-E.5)
- Equations of parallel and perpendicular lines (G-E.6)
- Triangle Angle-Sum Theorem (G-F.2)
- Exterior Angle Theorem (G-F.3)
- Congruency in isosceles and equilateral triangles (G-K.9)
- Translations: write the rule (G-L.4)
- Sequences of congruence transformations: find the rules (G-L.12)
- Properties of parallelograms (G-N.6)
- Properties of trapezoids (G-N.10)
- Similar triangles and similarity transformations (G-P.9)
- Write equations of circles in standard form using properties (G-V.5)
- Convert equations of circles from general to standard form (G-V.6)
- Checkpoint: Equations of circles (G-V.19)
- Checkpoint: Transformations of geometric figures (G)
-
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
- Midpoint formula: find the midpoint (G-B.10)
- Midpoint formula: find the endpoint (G-B.12)
- Checkpoint: Partition a line segment (G-B.16)
- Congruence statements and corresponding parts (G-J.1)
- Solve problems involving corresponding parts (G-J.2)
- SSS, SAS, ASA, and AAS Theorems (G-K.5)
- Translations: find the coordinates (G-L.3)
- Reflections: find the coordinates (G-L.6)
- Rotations: find the coordinates (G-L.9)
- Dilations: find the coordinates (G-L.16)
- Similarity statements (G-P.2)
- Side lengths and angle measures in similar figures (G-P.4)
- Similarity rules for triangles (G-P.8)
- Surface area and volume review (G-T.13)
- Checkpoint: Similarity transformations (G)
- Checkpoint: Volume (G)
-
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
- Proofs involving angles (G-C.9)
- Proofs involving parallel lines II (G-D.8)
- Checkpoint: Line and angle theorems (G-D.10)
- Checkpoint: Coordinate proofs (G-E.9)
- Identify hypotheses and conclusions (G-I.1)
- Counterexamples (G-I.2)
- Converses, inverses, and contrapositives (G-I.5)
- Proving triangles congruent by SSS, SAS, ASA, and AAS (G-K.7)
- Transformations that carry a polygon onto itself (G-L.13)
- Proofs involving triangles I (G-M.9)
- Proofs involving triangles II (G-M.10)
- Classify shapes on the coordinate plane: justify your answer (G-N.13)
- Proofs involving triangles and quadrilaterals (G-N.14)
- Checkpoint: Parallelogram theorems (G-N.16)
- Prove similarity statements (G-P.14)
- Prove proportions or angle congruences using similarity (G-P.15)
- Proofs involving similarity in right triangles (G-P.16)
- Checkpoint: Triangle similarity and congruence (G-P.18)
- Checkpoint: Triangle theorems (G)
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MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
- Cross sections of three-dimensional figures (G-H.4)
- Solids of revolution (G-H.5)
- Similar triangles and indirect measurement (G-P.5)
- Pythagorean Inequality Theorems (G-Q.4)
- Trigonometric ratios in similar right triangles (G-R.3)
- Solve a right triangle (G-R.12)
- Area and perimeter in the coordinate plane II (G-S.7)
- Perimeter and area: changes in scale (G-S.12)
- Checkpoint: Area and perimeter in the coordinate plane (G-S.15)
- Surface area and volume of similar solids (G-T.10)
- Surface area and volume: changes in scale (G-T.11)
- Central angles and arc measures (G-U.2)
- Angles in inscribed right triangles (G-U.13)
- Angles in inscribed quadrilaterals I (G-U.14)
- Angles formed by chords, secants, and tangents (G-U.16)
- Segments formed by chords, secants, and tangents (G-U.17)
- Checkpoint: Angles and lines in circles (G-U.23)
- Checkpoint: Cross sections and solids of revolution (G)
- Checkpoint: Right triangle trigonometry (G)
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MA.K12.MTR.6.1 Assess the reasonableness of solutions.
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MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
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Grade 11
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IXL skills to support mathematical thinking and reasoning include the following, among others:
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MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
- Add polynomials to find perimeter (A2)
- Multiply polynomials to find area (A2)
- Graph solutions to absolute value inequalities (A2-C.7)
- Graph solutions to quadratic inequalities (A2-C.10)
- Graph an absolute value function (A2-D.13)
- Graph a quadratic function (A2-K.5)
- Graph square root functions (A2-M.13)
- Graph exponential functions (A2-T.3)
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MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
- Solve a system of linear and quadratic equations by graphing: parabolas (A2-E.15)
- Solve systems of linear inequalities by graphing (A2-F.2)
- Factor quadratics using algebra tiles (A2-J.2)
- Factor polynomials (A2-J.7)
- Write a quadratic function from its vertex and another point (A2-K.17)
- Match polynomials and graphs (A2-L.15)
- Convert between exponential and logarithmic form: rational bases (A2-S.1)
- Convert between natural exponential and logarithmic form (A2-S.2)
- Properties of logarithms: mixed review (A2-S.12)
- Write exponential functions: word problems (A2-T.)
- Match exponential functions and graphs (A2-T.4)
- Solve exponential equations by rewriting the base (A2-T.5)
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MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
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