Skills available for
Colorado first-grade math standards
Standards
are in bold, followed by a list of the IXL math
skills that are aligned to that
standard.
Students can practice
these skills
online at www.ixl.com.
1.1.1 The whole number system describes place value relationships within and beyond 100 and forms the foundation for efficient algorithms
1.1.1.a Count to 120.
1.1.1.a.i Count starting at any number less than 120.
Counting review - 0 to 10 (First grade - A.1)
Counting review - up to 20 (First grade - A.2)
Counting tens and ones - up to 20 (First grade - A.3)
Counting - up to 30 (First grade - A.4)
Counting - up to 100 (First grade - A.5)
Skip-counting - with pictures (First grade - A.8)
Number lines (First grade - A.11)
Counting on the hundred chart (First grade - A.12)
1.1.1.a.ii Within 120, read and write numerals and represent a number of objects with a written numeral.
Counting review - 0 to 10 (First grade - A.1)
Counting review - up to 20 (First grade - A.2)
Counting tens and ones - up to 20 (First grade - A.3)
Counting - up to 30 (First grade - A.4)
Counting - up to 100 (First grade - A.5)
Counting tens and ones - up to 99 (First grade - A.7)
Skip-counting - with pictures (First grade - A.8)
Writing numbers in words (First grade - A.21)
Roman numerals I, V, X (First grade - A.22)
1.1.1.b Represent and use the digits of a two-digit number.
1.1.1.b.i Represent the digits of a two-digit number as tens and ones.
Counting tens and ones - up to 99 (First grade - A.7)
Counting by twos, fives, and tens - up to 100 (First grade - A.9)
Hundred chart (First grade - A.13)
Place value models up to 20 (First grade - I.1)
Write numbers as tens and ones up to 20 (First grade - I.2)
Place value models up to 100 (First grade - I.3)
Convert between tens and ones (First grade - I.4)
Write numbers as tens and ones (First grade - I.5)
1.1.1.b.ii Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
Comparing numbers up to 100 (First grade - G.3)
Put numbers in order (First grade - R.2)
1.1.1.b.iii Compare two sets of objects, including pennies, up to at least 25 using language such as "three more or three fewer"
1.1.1.c Use place value and properties of operations to add and subtract.
1.1.1.c.i Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of ten, using concrete models or drawings, and/or the relationship between addition and subtraction.
Add tens I (First grade - B.24)
Add tens II (First grade - B.25)
Add a one-digit number to a two-digit number - without regrouping (First grade - B.26)
Add a one-digit number to a two-digit number - with regrouping (First grade - B.29)
Ten more or less (First grade - F.8)
1.1.1.c.ii Identify coins and find the value of a collection of two coins.
Names and values of common coins (First grade - O.1)
Names and values of all coins (First grade - O.2)
1.1.1.c.iii Mentally find 10 more or 10 less than any two-digit number, without counting; explain the reasoning used.
Ten more or less (First grade - F.8)
1.1.1.c.iv Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Subtract tens I (First grade - D.18)
Add and subtract tens (First grade - F.9)
1.1.1.c.v Relate addition and subtraction strategies to a written method and explain the reasoning used.
Related addition facts (First grade - B.19)
Related subtraction facts (First grade - D.16)
Fact families (First grade - F.3)
1.1.2 Number relationships can be used to solve addition and subtraction problems
1.1.2.a Represent and solve problems involving addition and subtraction.
1.1.2.a.i Use addition and subtraction within 20 to solve word problems.
Addition word problems - sums to 10 (First grade - B.4)
Word problems - write the addition sentence (First grade - B.5)
Addition word problems - sums to 18 (First grade - B.15)
Subtraction word problems - one-digit numbers (First grade - D.4)
Word problems - write the subtraction sentence (First grade - D.5)
Subtraction word problems - numbers up to 18 (First grade - D.14)
Addition and subtraction word problems (First grade - F.6)
1.1.2.a.ii Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20.
Word problems - adding three numbers (First grade - B.18)
1.1.2.b Apply properties of operations and the relationship between addition and subtraction.
1.1.2.b.i Apply properties of operations as strategies to add and subtract.
Adding three numbers (First grade - B.17)
Word problems - adding three numbers (First grade - B.18)
Related addition facts (First grade - B.19)
Related subtraction facts (First grade - D.16)
Fact families (First grade - F.3)
1.1.2.b.ii Relate subtraction to unknown-addend problem.
Complete the addition sentence (First grade - B.16)
1.1.2.c Add and subtract within 20.
1.1.2.c.i Relate counting to addition and subtraction.
Counting forward and backward (First grade - A.10)
Skip-counting patterns - with tables (First grade - A.18)
Sequences - count up and down by 1, 2, 3, 5, and 10 (First grade - A.19)
Adding doubles using models (First grade - B.9)
1.1.2.c.ii Add and subtract within 20 using multiple strategies.
Addition sentences to 10 using number lines (First grade - B.3)
Ways to make a number using addition (First grade - B.6)
Ways to make a number - addition sentences (First grade - B.7)
Adding zero (First grade - B.8)
Adding doubles (First grade - B.10)
Addition facts - sums to 10 (First grade - B.12)
Addition sentences to 18 using number lines (First grade - B.13)
Addition facts - sums to 18 (First grade - B.14)
Add using doubles plus 1 (First grade - B.20)
Add using doubles minus 1 (First grade - B.21)
Addition facts - sums to 20 (First grade - B.22)
Adding 0 (First grade - C.1)
Adding 1 (First grade - C.2)
Adding 2 (First grade - C.3)
Adding 3 (First grade - C.4)
Adding 4 (First grade - C.5)
Adding 5 (First grade - C.6)
Adding 6 (First grade - C.7)
Adding 7 (First grade - C.8)
Adding 8 (First grade - C.9)
Adding 9 (First grade - C.10)
Subtraction sentences within 10 using number lines (First grade - D.3)
Ways to make a number using subtraction (First grade - D.6)
Ways to make a number - subtraction sentences (First grade - D.7)
Ways to subtract from a number - subtraction sentences (First grade - D.8)
Subtracting zero and all (First grade - D.9)
Subtracting doubles (First grade - D.10)
Subtraction facts - numbers up to 10 (First grade - D.11)
Subtraction sentences within 18 using number lines (First grade - D.12)
Subtraction facts - numbers up to 18 (First grade - D.13)
Subtract one-digit numbers from two-digit numbers (First grade - D.20)
Subtracting 0 (First grade - E.1)
Subtracting 1 (First grade - E.2)
Subtracting 2 (First grade - E.3)
Subtracting 3 (First grade - E.4)
Subtracting 4 (First grade - E.5)
Subtracting 5 (First grade - E.6)
Subtracting 6 (First grade - E.7)
Subtracting 7 (First grade - E.8)
Subtracting 8 (First grade - E.9)
Subtracting 9 (First grade - E.10)
Addition and subtraction - ways to make a number (First grade - F.1)
Addition and subtraction facts - numbers up to 10 (First grade - F.4)
Addition and subtraction facts - numbers up to 18 (First grade - F.5)
1.1.2.c.iii Demonstrate fluency for addition and subtraction within 10.
Ways to make a number using addition (First grade - B.6)
Ways to make a number - addition sentences (First grade - B.7)
Adding zero (First grade - B.8)
Addition facts - sums to 10 (First grade - B.12)
Ways to make a number using subtraction (First grade - D.6)
Ways to make a number - subtraction sentences (First grade - D.7)
Ways to subtract from a number - subtraction sentences (First grade - D.8)
Subtracting zero and all (First grade - D.9)
Subtracting doubles (First grade - D.10)
Subtraction facts - numbers up to 10 (First grade - D.11)
Addition and subtraction - ways to make a number (First grade - F.1)
Addition and subtraction facts - numbers up to 10 (First grade - F.4)
1.1.2.d Use addition and subtraction equations to show number relationships.
1.1.2.d.i Use the equal sign to demonstrate equality in number relationships.
Addition sentences: true or false? (First grade - B.23)
Subtraction sentences: true or false? (First grade - D.17)
Which sign makes the number sentence true? (First grade - F.2)
Addition and subtraction sentences: true or false? (First grade - F.7)
1.1.2.d.ii Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
Adding doubles - complete the sentence (First grade - B.11)
Complete the addition sentence (First grade - B.16)
Complete the subtraction sentence (First grade - D.15)
1.3 Data Analysis, Statistics, and Probability
1.3.1 Visual displays of information can used to answer questions
1.3.1.a Represent and interpret data.
Record data with tally charts, picture graphs, tables (First grade - M.1)
Interpret data in tally charts, picture graphs, tables (First grade - M.2)
Interpret bar graphs (First grade - M.3)
Which bar graph is correct? (First grade - M.4)
1.3.1.a.i Organize, represent, and interpret data with up to three categories.
Record data with tally charts, picture graphs, tables (First grade - M.1)
Interpret data in tally charts, picture graphs, tables (First grade - M.2)
Interpret bar graphs (First grade - M.3)
Which bar graph is correct? (First grade - M.4)
1.3.1.a.ii Ask and answer questions about the total number of data points how many in each category, and how many more or less are in one category than in another.
Interpret data in tally charts, picture graphs, tables (First grade - M.2)
Interpret bar graphs (First grade - M.3)
1.4 Shape, Dimension, and Geometric Relationships
1.4.1 Shapes can be described by defining attributes and created by composing and decomposing
1.4.1.a Distinguish between defining attributes versus non-defining attributes.
Identify 2-dimensional shapes (First grade - K.1)
Count sides and vertices (First grade - K.5)
Count edges, vertices, and faces (First grade - K.6)
Compare sides and vertices (First grade - K.7)
Compare edges, vertices, and faces (First grade - K.8)
Open and closed shapes (First grade - K.9)
Same shape (First grade - K.12)
1.4.1.b Build and draw shapes to possess defining attributes.
1.4.1.c Compose two-dimensional shapes or three-dimensional shapes to create a composite shape, and compose new shapes from the composite shape.
1.4.1.d Partition circles and rectangles into two and four equal shares.
1.4.1.d.i Describe shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
Halves, thirds, and fourths (First grade - J.1)
Equal parts (First grade - J.2)
Simple fractions: what fraction does the shape show? (First grade - J.3)
Simple fractions: which shape matches the fraction? (First grade - J.4)
1.4.1.d.ii Describe the whole as two of, or four of the equal shares.
Halves, thirds, and fourths (First grade - J.1)
Simple fractions: what fraction does the shape show? (First grade - J.3)
Simple fractions: which shape matches the fraction? (First grade - J.4)
Fraction models equivalent to whole numbers (First grade - J.8)
Fractions equivalent to whole numbers (First grade - J.9)
1.4.2 Measurement is used to compare and order objects and events
1.4.2.a Measure lengths indirectly and by iterating length units.
1.4.2.a.i Order three objects by length; compare the lengths of two objects indirectly by using a third object.
Customary units of length: word problems (First grade - N.6)
Metric units of length: word problems (First grade - N.10)
Put numbers in order (First grade - R.2)
1.4.2.a.ii Express the length of an object as a whole number of length units.
Measure using objects (First grade - N.3)
Measure using an inch ruler (First grade - N.4)
Measure using a centimeter ruler (First grade - N.11)
1.4.2.b Tell and write time.
1.4.2.b.i Tell and write time in hours and half-hours using analog and digital clocks.
Reading clocks (First grade - S.2)
Match clocks and times (First grade - S.3)
Match analog and digital clocks (First grade - S.5)
Compare clocks (First grade - S.7)
Choose the appropriate time units (First grade - S.9)