Georgia

NR Numerical Reasoning

• Counting, numbers, equality, place value, addition, subtraction

  • 1.NR.1 Extend the count sequence to 120. Read, write, and represent numerical values to 120 and compare numerical values to 100.

    • 1.NR.1.1 Count within 120, forward and backward, starting at any number. In this range, read and write numerals and represent a number of objects with a written numeral.

      • Counting review - up to 20 (1-A.3)
      • Count on ten frames - up to 40 (1-A.5)
      • Counting - up to 100 (1-A.10)
      • Counting forward - up to 100 (1-A.13)
      • Counting backward - up to 100 (1-A.14)
      • Counting forward - up to 120 (1-A.15)
      • Counting backward - up to 120 (1-A.16)
      • Number lines - up to 100 (1-A.17)
      • Number lines - up to 120 (1-A.18)
      • Counting on the hundred chart (1-A.19)
      • Counting on a number chart - up to 120 (1-A.20)
      • Sequences - count up and down by 1 (1-A.27)
      • Writing numbers in words - convert words to digits (1-A.30)
      • Writing numbers in words - convert digits to words (1-A.31)
      • Counting objects to 120 (1)

    • 1.NR.1.2 Explain that the two digits of a 2-digit number represent the amounts of tens and ones.

      • Counting tens and ones - up to 20 (1-A.4)
      • Counting tens and ones - up to 99 (1-A.11)
      • Hundred chart (1-A.21)
      • Place value models up to 20 (1-N.1)
      • Write numbers as tens and ones up to 20 (1-N.2)
      • Place value models up to 100 (1-N.3)
      • Convert between tens and ones - multiples of ten (1-N.4)
      • Write numbers as tens and ones (1-N.5)

    • 1.NR.1.3 Compare and order whole numbers up to 100 using concrete models, drawings, and the symbols >, =, and <.

      • Use place value to compare numbers up to 100 (1-L.)
      • Compare numbers up to 100 using symbols (1-L.5)
      • Put numbers in order - up to 100 (1-U.3)

  • 1.NR.2 Explain the relationship between addition and subtraction and apply the properties of operations to solve real-life addition and subtraction problems within 20.

    • 1.NR.2.1 Use a variety of strategies to solve addition and subtraction problems within 20.

      • Add with cubes - sums up to 10 (1-B.1)
      • Add with pictures - sums up to 10 (1-B.2)
      • Write addition sentences for pictures - sums up to 10 (1-B.)
      • Addition sentences using number lines - sums up to 10 (1-B.5)
      • Addition facts - sums up to 10 (1-D.1)
      • Make a number using addition - sums up to 10 (1-D.2)
      • 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 word problems with pictures - sums up to 10 (1-D.5)
      • Write addition sentences for word problems with pictures - sums up to 10 (1-D.)
      • Build cube trains to solve addition word problems - sums up to 10 (1-D.)
      • Addition word problems - sums up to 10 (1-D.6)
      • Model and write addition sentences for word problems - sums up to 10 (1-D.)
      • Addition sentences for word problems - sums up to 10 (1-D.7)
      • Add in any order (1-D.)
      • Addition facts - sums up to 20 (1-D.9)
      • Make a number using addition - sums up to 20 (1-D.10)
      • Complete the addition sentence - sums up to 20 (1-D.11)
      • Addition word problems - sums up to 20 (1-D.12)
      • Addition sentences for word problems - sums up to 20 (1-D.13)
      • Related addition facts (1-D.14)
      • Add by counting on - sums up to 10 (1-E.)
      • Add doubles - with models (1-E.1)
      • Add doubles (1-E.2)
      • Add doubles - complete the sentence (1-E.3)
      • Add using doubles plus one (1-E.4)
      • Add using doubles minus one (1-E.5)
      • Make ten to add - with models (1-E.7)
      • Make ten to add (1-E.9)
      • Add three numbers (1-E.16)
      • Add three numbers - word problems (1-E.17)
      • Subtract with cubes - up to 10 (1-F.1)
      • Subtract with pictures - up to 10 (1-F.2)
      • Subtraction sentences using number lines - up to 10 (1-F.5)
      • Subtraction facts - up to 10 (1-H.1)
      • Make a number using subtraction - up to 10 (1-H.2)
      • 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)
      • Complete the subtraction sentence - up to 10 (1-H.5)
      • Subtraction word problems with pictures - up to 10 (1-H.6)
      • Write subtraction sentences for word problems with pictures - up to 10 (1-H.)
      • Use cube trains to solve subtraction word problems - up to 10 (1-H.)
      • Subtraction word problems - up to 10 (1-H.7)
      • Model and write subtraction sentences for word problems - up to 10 (1-H.)
      • Subtraction sentences for word problems - up to 10 (1-H.8)
      • Subtraction sentences using number lines - up to 20 (1-H.9)
      • Subtraction facts - up to 20 (1-H.10)
      • Make a number using subtraction - up to 20 (1-H.11)
      • Complete the subtraction sentence - up to 20 (1-H.12)
      • Subtraction word problems - up to 20 (1-H.13)
      • Subtraction sentences for word problems - up to 20 (1-H.14)
      • Related subtraction facts (1-H.15)
      • Subtract by counting back - up to 10 (1-I.)
      • Subtract by counting back - up to 20 (1-I.)
      • Subtract by counting on - up to 10 (1-I.2)
      • Subtract by counting on - up to 20 (1-I.3)
      • Subtract doubles (1-I.4)
      • Use ten to subtract (1-I.)
      • Word problems with change unknown - up to 10 (1-K.1)
      • Word problems with start unknown - up to 10 (1-K.2)
      • Word problems with one addend unknown - up to 10 (1-K.3)
      • Word problems involving addition and subtraction - up to 10 (1-K.5)
      • Word problems involving addition and subtraction - up to 20 (1-K.6)
      • Comparison word problems up to 10: how many more or fewer? (1-K.8)
      • Comparison word problems up to 10: what is the larger amount? (1-K.9)
      • Comparison word problems up to 10: what is the smaller amount? (1-K.10)
      • Comparison word problems up to 10 (1-K.11)
      • Comparison word problems up to 20: how many more or fewer? (1-K.)
      • Comparison word problems up to 20: what is the larger amount? (1-K.)
      • Comparison word problems up to 20: what is the smaller amount? (1-K.)
      • Comparison word problems up to 20 (1-K.)
      • Add by counting on from teen numbers - sums up to 20 (1)

    • 1.NR.2.2 Use pictures, drawings, and equations to develop strategies for addition and subtraction within 20 by exploring strings of related problems.

      • Add in any order (1-D.)
      • Related addition facts (1-D.14)
      • Add by counting on - sums up to 10 (1-E.)
      • Add using doubles plus one (1-E.4)
      • Add using doubles minus one (1-E.5)
      • Make ten to add - with models (1-E.7)
      • Make ten to add (1-E.9)
      • Add three numbers - make ten (1-E.10)
      • Related subtraction facts (1-H.15)
      • Relate addition and subtraction sentences (1-I.1)
      • Fact families (1-J.3)

    • 1.NR.2.3 Recognize the inverse relationship between subtraction and addition within 20 and use this inverse relationship to solve authentic problems.

      • Relate addition and subtraction sentences (1-I.1)
      • Word problems with one addend unknown - up to 10 (1-K.3)

    • 1.NR.2.4 Fluently add and subtract within 10 using a variety of strategies.

      • Addition and subtraction - ways to make a number up to 10 (1)
      • Adding 1 (1-C.1)
      • Adding 2 (1-C.2)
      • Adding 3 (1-C.3)
      • Adding 4 (1-C.4)
      • Adding 5 (1-C.5)
      • Adding 6 (1-C.6)
      • Adding 7 (1-C.7)
      • Adding 8 (1-C.8)
      • Adding 9 (1-C.9)
      • Adding 10 (1-C.)
      • Adding 0 (1-C.10)
      • Addition facts - sums up to 10 (1-D.1)
      • Make a number using addition - sums up to 10 (1-D.2)
      • Ways to make a number - addition sentences up to 10 (1-D.4)
      • Subtracting 1 (1-G.1)
      • Subtracting 2 (1-G.2)
      • Subtracting 3 (1-G.3)
      • Subtracting 4 (1-G.4)
      • Subtracting 5 (1-G.5)
      • Subtracting 6 (1-G.6)
      • Subtracting 7 (1-G.7)
      • Subtracting 8 (1-G.8)
      • Subtracting 9 (1-G.9)
      • Subtracting 10 (1-G.)
      • Subtracting 0 (1-G.10)
      • Subtraction facts - up to 10 (1-H.1)
      • Make a number using subtraction - up to 10 (1-H.2)
      • 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)
      • Addition and subtraction facts - up to 10 (1-J.4)

    • 1.NR.2.5 Use the meaning of the equal sign to determine whether equations involving addition and subtraction are true or false.

      • 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)

    • 1.NR.2.6 Determine the unknown whole number in an addition or subtraction equation relating to three whole numbers.

      • Complete the addition sentence - sums up to 10 (1-D.3)
      • Complete the addition sentence - sums up to 20 (1-D.11)
      • Add doubles - complete the sentence (1-E.3)
      • Complete the addition sentence - make ten (1-E.8)
      • Complete the subtraction sentence - up to 10 (1-H.5)
      • Complete the subtraction sentence - up to 20 (1-H.12)

    • 1.NR.2.7 Apply properties of operations as strategies to solve addition and subtraction problem situations within 20.

      • Add in any order (1-D.)
      • Related addition facts (1-D.14)
      • Add by counting on - sums up to 10 (1-E.)
      • Make ten to add - with models (1-E.7)
      • Make ten to add (1-E.9)
      • Add three numbers - make ten (1-E.10)
      • Add three numbers (1-E.16)
      • Related subtraction facts (1-H.15)
      • Relate addition and subtraction sentences (1-I.1)
      • Fact families (1-J.3)

• Base ten structure, addition and subtraction within 100

  • 1.NR.5 Use concrete models, the base ten structure, and properties of operations to add and subtract within 100.

    • 1.NR.5.1 Use a variety of strategies to solve applicable, mathematical addition and subtraction problems with one- and two-digit whole numbers.

      • Use models to add a two-digit and a one-digit number - without regrouping (1-D.17)
      • Add a one-digit number to a two-digit number - without regrouping (1-D.18)
      • Use models to add a two-digit and a one-digit number - with regrouping (1-D.21)
      • Add a one-digit number to a two-digit number - with regrouping (1-D.22)
      • Addition word problems - one-digit plus two-digit numbers (1-D.23)
      • Addition sentences for word problems - one-digit plus two-digit numbers (1-D.24)
      • Use models to add two-digit numbers - without regrouping (1-D.25)
      • Add two-digit numbers without regrouping - sums to 100 (1-D.26)
      • Use models to add two-digit numbers - with regrouping (1-D.27)
      • Add two-digit numbers with regrouping - sums to 100 (1-D.28)
      • Subtract one-digit numbers from two-digit numbers (1-H.18)
      • Add and subtract one-digit and two-digit numbers - up to 40 (1)

    • 1.NR.5.2 Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.

      • Ten more or less (1-J.7)

    • 1.NR.5.3 Add and subtract multiples of 10 within 100.

      • Use models to add a multiple of ten and a one-digit number (1-E.11)
      • Add a multiple of ten and a one-digit number (1-E.12)
      • Add two multiples of ten (1-E.13)
      • Use models to add a multiple of ten and a two-digit number (1-E.14)
      • Add a multiple of ten and a two-digit number (1-E.15)
      • Subtract multiples of ten (1-I.5)
      • Subtract a multiple of ten (1-I.6)

PAR Patterning & Algebraic Reasoning

• Repeating patterns, growing, patterns, and shrinking patterns

  • 1.PAR.3 Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations.

    • 1.PAR.3.1 Investigate, create, and make predictions about repeating patterns with a core of up to 3 elements resulting from repeating an operation, as a series of shapes, or a number string.

      • Skip-counting by twos (1-A.6)
      • Skip-counting by fives (1-A.7)
      • Skip-counting by tens (1-A.8)
      • Skip-counting by twos, fives, and tens (1-A.9)
      • Introduction to patterns (1-S.1)
      • Find the next shape in a pattern (1-S.2)
      • Complete a pattern (1-S.3)
      • Make a pattern (1-S.4)

    • 1.PAR.3.2 Identify, describe, and create growing, shrinking, and repeating patterns based on the repeated addition or subtraction of 1s, 2s, 5s, and 10s.

      • Skip-counting patterns - with tables (1-A.26)
      • Sequences - count up and down by 1, 2, 5, and 10 (1-A.28)
      • Number lines that count by tens or ones - up to 120 (1)

GSR Geometric & Spatial Reasoning

• Shapes, attributes, partitions of circles and rectangles

  • 1.GSR.4 Compose shapes, analyze the attributes of shapes, and relate their parts to the whole.

    • 1.GSR.4.1 Identify common two dimensional shapes and three dimensional figures, sort and classify them by their attributes and build and draw shapes that possess defining attributes.

      • Name the two-dimensional shape (1-W.1)
      • Select two-dimensional shapes (1-W.2)
      • Count sides and corners (1-W.4)
      • Compare sides and corners (1-W.5)
      • Open and closed shapes (1-W.8)
      • Two-dimensional and three-dimensional shapes (1-X.1)
      • Name the three-dimensional shape (1-X.2)
      • Cubes and rectangular prisms (1-X.3)
      • Select three-dimensional shapes (1-X.4)
      • Count vertices, edges, and faces (1-X.5)
      • Compare vertices, edges, and faces (1-X.6)
      • Identify faces of three-dimensional shapes (1-X.8)

    • 1.GSR.4.2 Compose two-dimensional shapes (rectangles, squares, triangles, half-circles, and quarter-circles) and three dimensional figures (cubes, rectangular prisms, cones, and cylinders) to create a shape formed of two or more common shapes and compose new shapes from the composite shape.

      • Compose two-dimensional shapes (1-W.11)

    • 1.GSR.4.3 Partition circles and rectangles into two and four equal shares.

      • Equal parts - halves and fourths (1-Y.1)
      • Identify halves and fourths (1-Y.6)
      • Make halves (1-Y.8)
      • Make fourths (1-Y.10)
      • Make halves and fourths (1-Y.11)
      • Make halves and fourths in different ways (1-Y.13)

MDR Measurement & Data Reasoning

• Length, time, money

  • 1.MDR.6 Use appropriate tools to measure, order, and compare intervals of length and time, as well as denominations of money to solve real-life, mathematical problems and answer relevant questions.

    • 1.MDR.6.1 Estimate, measure, and record lengths of objects using non-standard units, and compare and order up to three objects using the recorded measurements. Describe the objects compared.

      • Compare objects: length and height (1-Q.2)
      • Measure length with objects (1-Q.7)
      • Measure length with cubes (1-Q.8)
      • Measure height with cubes (1-Q.9)

    • 1.MDR.6.2 Tell and write time in hours and half-hours using analog and digital clocks, and measure elapsed time to the hour on the hour using a predetermined number line.

      • Match digital clocks and times (1-V.1)
      • Match analog clocks and times (1-V.2)
      • Match analog and digital clocks (1-V.3)
      • Read clocks and write times (1-V.4)
      • A.M. or P.M. (1-V.5)
      • Time and clocks: word problems (1-V.8)

    • 1.MDR.6.3 Identify the value of quarters and compare the values of pennies, nickels, dimes, and quarters.

      • Names and values of common coins (1-R.1)

    • 1.MDR.6.4 Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to compare and order whole numbers.

      • Which picture graph is correct? (1-P.1)
      • Interpret picture graphs (1-P.2)
      • Which tally chart is correct? (1-P.3)
      • Interpret tally charts (1-P.4)
      • Which table is correct? (1-P.5)
      • Interpret data in tables (1-P.6)
      • Interpret bar graphs I (1-P.7)
      • Interpret bar graphs II (1-P.8)
      • Which bar graph is correct? (1-P.9)