Curriculum Connection
K-5 Math-January 2021
Math Norms
Kindergarten Math
Topic 13: Analyze, Compare and Create Shapes
Topic 6 introduces students to the concept of addition. It focuses on a deep understanding of addition as "put together: and "add to." Students learn how to represent addition in different ways and solve word problems, all building towards fluently adding within 5.
1st Grade Math
In Topic 6, student explore concepts of data analysis involving up to three categories of data. Students collect, organize, represent, and interpret data. Many of the problems about data are structured to represent a variety of addition and subtraction situations.
Students will learn how to use tally marks to represent data and then record it in tally charts. Most of the data the students collect, represent, and analyze is from surveys. Students use data represented by tally marks to make picture graphs. Picture graphs help students get a quick visual reference to compare data sets.
Students work on "compare" word problems that ask "how many more" and "how many fewer" questions. These problems require that students first retrieve the data from a tally chart or picture graph and then compare them.
Later lessons include "put together" and "take apart" word problems. Some problems ask students to find the total number of data values given the number of data values in each category. Other problems ask students to find the number of data values in one category given the number of data values in the other category and the total number of data values.
This topic focuses on counting to 120, starting at any number less than 120, by 10s and 1s, reading and writing numbers to 120, and representing a number of objects with a written numeral for quantities to 120. Counting by 10s and 1s builds understanding about 2-digit numbers that will prove useful in later topics involving place value.
2nd Grade Math
Topic 7 focuses on representing and solving one- and two- step word problems involving addition and subtraction situations. Students represent the numerical relationships in the word problems using drawings, bar diagrams, and equations with a symbol for the unknown number.
This topic focuses on identifying and counting coins and bills, solving word problems about money, telling time to the nearest 5 minutes using a.m and p.m., and telling time before and after the hour.
3rd Grade Math
Topic 9: Fluently Add and Subtract Within 1,000
Addition Strategies:
- Partial Sums
- Regrouping in Addition
- Three or More Addends
Subtraction Strategies:
- Partial Difference
- Regrouping in Subtraction
- The Relationship Between Addition and Subtraction
Topic 10: Multiply by Multiples of 10
Use Place Value and Patterns to Multiply
- Place Value Blocks and Number Lines
- Mental Math
Use Properties to Multiply
- Associative Property of Multiplication
- Distributive Property
Greg Tang Example
x "groups of"
= "same as"
Also, use your number bonds to bring out the 10
Example: 3 X 13= 30 + 9
10 3
4th Grade Math
Topic 8: Extend Understanding of Fraction Equivalence and Ordering
Fraction Equivalence
- Use Visual Models
- Use Multiplication and Division
Fraction Comparison
- Benchmark Fractions
- Use Common Numerators or Denominators
Topic 9: Understand Addition and Subtraction of Fractions
Add Fractions
- Use Models to Add Fractions
- Decompose Fractions
- Add Fractions with Like Denominators
Subtract Fractions
- Use Models to Subtract Fractions
- Subtract Fractions with Like Denominators
Greg Tang
Example: Instead of 3 X 2/7= show it as 3 x 2 sevenths = 6 sevenths
5th Grade Math
Topic 8: Applying Understanding of Multiplication to Multiply Fractions
Multiply Fractions:
- Multiply Whole Numbers and Fractions
- Multiply Fractions
- Multiply Mixed Numbers
- Multiplication as Scaling
Topic 9: Apply Understanding of Division to Divide Fractions
Fractions as Division:
- Interpret Fractions as Division
Divide Unit Fractions and Whole Numbers
- Divide Whole Numbers by Unit Fractions
- Divide Unit Fractions by Whole Numbers
Extend Division with Fractions
- Solve Problems Involving Fraction Division
- Generalize Division with Unit Fractions and Whole Numbers
Greg Tang
Topic 8:
Early (lessons 1-3): Multiplying a fraction by a whole number
Language – “___ groups of ___” (8 groups of ¾) and “____ of ____” (3/4 of 8)
Notation – 2 thirds instead of ⅔
Bar Models – See attached photo
Mid (lessons 4-6): Multiplying a fraction by a fraction
Linear bar models, starting with unit fractions to extrapolate the “algorithm” of multiplying straight across (numerator times a numerator and denominator times a denominator)
End (lessons 7-9): Multiplying mixed numbers
Number bonds and area models (see attached photo)
Jennifer Wiley: K-2 Curriculum Specialist
Email: wileyj@parkhill.k12.mo.us
Website: www.parkhill.k12.mo.us
Location: 7703 Northwest Barry Road, Kansas City, MO, USA
Phone: 816-359-6253
Twitter: @icjenwiley
Kim Fette: 3-5 Curriculum Specialist
Email: fettek@parkhill.k12.mo.us
Website: parkhill.k12.mo.us
Location: 7703 Northwest Barry Road, Kansas City, MO, USA
Phone: 816-359-5750
Twitter: @kimElemCoach