Module 1: Sums and Differences to 10

Children work on fluency daily. They will begin with counting ‘all’ and move to counting ‘on’ throughout the unit. The children will then be able to compose and decompose addends and total amounts.

• Kindergarten focus is to compose numbers to 5. In first grade, children compose numbers to 10 with more emphasis on 6, 7, 8 & 9. We begin with 5 group configurations to visualize 2 sets and finally put them into a number bond. How many dots do you see? 6 What parts do you see? 5 and 1 Did you have to count all the dots?

• Children will decompose the numbers 6, 7, 8, 9 & 10 by using 2 colored counters. They will record the different expressions and put them into number bonds. 6+0, 5+1, 4+2, 3+3

• Children will move onto word problems and finding the unknown (missing) part by making drawings, writing equations and making statements

• Children will count on up to three more to find the sum and count on to find the unknown

6+3=____, 6+____= 9

• Children will construct true number sentences by pairing equivalent expressions

3+2=2+3

• Children will apply the commutative property to count on from a larger addend

Flip 3+6 to 6+3

• The children will build fluency with facts to 10. They will begin with doubles and doubles plus 1. If 3+3=6, then 3+4=7. Coloring an addition chart will aid in visualizing addition facts with the same total.

• The children will relate subtraction to addition. They will use prior knowledge with counting on, number bonds and number paths to solve for the unknown using subtraction.

• The children focus heavily on subtracting and taking away to end with a smaller set. They will utilize many learned strategies to solve math stories and find unknowns (missing parts) such as drawings, number sentences, crossing off, and circling.

• The children will draw pictures of the whole and cross off to find the unknown. They will fill in number bonds to match their drawings. They will also use Rekenrek (abacus) bracelets as a concrete model.

• The children will use an addition chart to relate equations to subtraction. 7-3 and 3+4 are related facts. The children will then take this knowledge and apply it to make sets of related addition and subtraction facts (fact families).

Module 2: Introduction to Place Value Through Addition and Subtraction Within 20

Children begin to solve addition and subtraction problems up to the number 20. They will go beyond ‘counting on’ and ‘counting back’ strategies and move onto ‘make ten’ and ‘take from ten’ strategies. Children will…

• add 3 addends. They will first find and circle two addends that make 10 and then add the third addend. 6+2+4= ? 6+4=10, 10+2=12

• solve problems with addends of 7, 8 & 9

8 + 5 = 13 8 + 2= 10

/\ 10 + 3 = 13

2 3

• solve word problems with subtraction of 7, 8, 9 and 10 from 10. They will also subtract 7, 8 and 9 from teens. They will make simple math drawings with labels and cross out or make number bonds

13 - 9 = 4 10 - 9 = 1

/\ 1 + 3 = 4

10 3

• use a Rekenrek to represent numbers in more complex ways

• compare which strategy is easier to use with each problem, counting on or taking from 10

• use RDW (read the problem, draw the problem, write the solution)

Module 3: Ordering and Comparing Length Measurements as Numbers

Children will compare and measure length using standard and non-standard units. Children will also organize, input and interpret data. Children will…

• learn to measure accurately by aligning endpoints and having no gaps or overlaps

• use words such as longer than, shorter than and equal to

• order lengths

• learn how to measure with non-standard units such as centimeter cubes, string, pencils, scissors and other objects

• learn to measure with centimeters by using a ruler

• solve word problems by using drawings, writing a number sentence and a statement

• collect, sort and organize data into different graphs

• ask and answer questions about the data

• ask and answer word problems about the data

Module 4: Place Value, Comparison, Addition and Subtraction to 40

Children will build upon module 2 to manipulate numbers within 40. They will compare numbers. The children will add and subtract tens and add two digit numbers to single digit numbers. Children will…

• learn ones and tens and record them into a place value chart and a number bond

• make quick tens in which a line represents a ten instead of ten units on top of one another

• identify one more, one less, ten more and ten less

• make two digit numbers into number sentences

27 is 20 + 7

• use dimes and pennies to represent tens and ones

• compare the value of numbers using greater than, less than and equal to (>, <, =)

• write numbers in order from greatest to least and least to greatest

• add and subtract tens from a multiple of ten 20 - 10 = 10 or two tens - one ten = one ten

• use counting on, drawings, number bonds and the make 10 strategy when adding across tens

19 + 2 = 21 9 + 2 = 11

/\ 11+ 10 = 21

10 9

• use single digit sums to support higher level sums

4 + 2 = 6, 14 + 2 = 16, 24 + 2 = 26, 34 + 2 = 36

• add ones and ones or tens and tens

• use tape diagrams (visual models that use rectangles to represent parts and whole) to solve addition and subtraction word problems

• add a pair of two digit numbers when the one digit number has a sum less, equal to, or greater than 10

17 + 13 = 30 17 + 10 = 27 17 + 13 = 30 17 + 3 = 20

/\ 27 + 3 = 30 OR /\ 20 + 10 = 30

10 3 3 10

Module 5: Identifying, Composing, and Partitioning Shapes

Children will build upon kindergarten knowledge of two-dimensional and three-dimensional shapes. Children will create composite shapes. They will have an introduction to fractions with whole, halves and fourths. The children will also learn to tell time to the hour and half hour. Children will…

• classify shapes based upon like characteristics (sides, angles)

• name two-dimensional shapes (triangle, rectangle, square, trapezoid, rhombus, hexagon) and find their sides and corners

• understand that a square is a special kind of rectangle

• name three-dimensional shapes (cone, cube, rectangular prism, sphere) and find their points and faces

• create new shapes from composite shapes using pattern blocks, tangrams and 3D shapes

• build and draw shapes to find equal parts

• find halves and quarters of circles and rectangles

• learn time to the hour and half hour

• tell and write time using both an analog and digital clock

Module 6: Place Value, Comparison, Addition and Subtraction to 100

Children will tackle comparative word problems with larger numbers. The children will be introduced to nickels and quarters. They will decompose the value of coins. Children will…

• make tape diagrams to compare when solving word problems

• be able to count to 120 and name and write any number less than 120

• be able to write a statement to describe a number

75 is 5 more than 70, 75 is 70 more than 5, 5 more than 70 is 75, 70 more than 5 is 75

• identify one more, one less, ten more and ten less than a two-digit number

• compare the value of two-digit numbers using greater than, less than and equal to (>,<,=)

• add and subtract multiples of 10

• add two-digit numbers using drawing and number bonds to decompose (break apart)

• use more than one way to break apart addends when solving problems

• identify coins by their image, name and value

• decompose the value of coins

(A quarter can be 25 pennies, 2 dimes and a nickel, 5 nickels, etc.)

• be able to add one cent to any value of coins

• be able to count on from any coin using pennies

• write a number sentence to add the value of dimes and the value of pennies