Curriculum Connection
K-5 Math- November 2021
Math Norms
Kindergarten Math
Classify Objects
In Topic 5, students classify objects and pictures according to a given attribute using dichotomous grouping. In a dichotomous grouping, there are two groups. Each object either possesses the given attribute, or it does not possess the attribute and belongs to a group entirely consisting of objects without that attribute. This method of classifying is appropriate for young children because objects can be easily grouped, and because a similar process is used to decompose numbers.
Count, Record, and Sort
Students count the number of objects in each category and record the results by writing numerals in a chart. Students can first write tally marks in a separate chart to make it easier to record the data. Students also compare two unequal counts and identify which one is greater in number and which one is less in number.
1st Grade Math
Students demonstrate fluency with addition within 10 and use strategies to add within 20. Strategies include counting on, using doubles and near doubles, and making a 10 to add.
Topic 4 introduces students to several key strategies for solving subtraction facts to 20. These strategies include counting to subtract, making 10 to subtract, and using addition to subtract. These strategies will serve students well by encouraging a deeper and more conceptual understanding of the relationships between addition and subtraction.
2nd Grade Math
Students will develop computational fluency in addition within 100 by using models, understanding of place value, properties of operations, the partial-sum method, and mental math.
Topic 5 focuses on subtraction within 100 using strategies that employ a hundred chart, an open number line, breaking a number apart and compensation.
3rd Grade Math
Topic 5- Fluently Multiply and Divide within 100
Fluency with Multiplication and Division Facts:
Representation and patterns are used to see the relationships between facts.
Multiplication and Division Stories:
A bar diagram shows the relationship between quantities in a word problem. It helps students write an equation that can be used to solve the problem.
Topic 6- Connect Area to Multiplication and Addition
Understand Area as Covering with Unit Square:
Students count unit squares, both nonstandard and standard, to find the area of figures.
Connect Area to Multiplication and Addition:
Students explicitly recognize that the area of rectangles can also be found using multiplication.
Distributive Property:
Students find the areas of rectangles by breaking them apart.
Topic 6-Connect Area to Multiplication and Addition
Students multiply to find the areas of rectangles with whole number side lengths.
Applications:
Students experience real-world and mathematical situations that involve area.
4th Grade Math
Topic 5: Use Strategies and Properties to Divide by 1-Digit Numbers
Topic 5 focuses on developing understanding of finding whole-number quotients and remainders with up to four-digit dividends and 1-digit divisors, using strategies based on place value, properties of operations, and/or the relationship between multiplication and division.
Divide by 1-Digit
Number Sense:
Students use basic facts and place-value understanding to divide multiples of 10 and 100 by 1-digit numbers.
Remainders:
Students learn how to interpret and record remainders.
Models and Strategies for Dividing by 1-Digit Whole Numbers:
Students use a variety of models to connect division of greater numbers to the meanings of division, the Distributive Property, and division strategies. Strategies include partial quotients and sharing.
Topic 5: Use Strategies and Properties to Divide by 1-Digit Numbers
Students recall basic facts and place-value understanding to divide multiples of 10 and 100.
Remainders:
Students develop a sense of how to use the context of the problem to interpret remainders.
Partial Quotients:
Students use models and the distributive property to help visualize how to bread division problems into parts.
Topic 6: Use Operations with Whole Numbers
Comparison Situations:
Multiplicative Comparison and Additive Comparison:
Students solve problems involving comparison and learn to distinguish between multiplicative comparison and additive comparison.
5th Grade Math
Topic 5: Use Models and Strategies to Divide Whole Numbers
Develop Number Sense
Divide by Multiples of 10:
Students learn to divide who numbers by multiples of 10. They use place-value patterns or multiplication to divide.
Estimate Quotient:
Students use compatible numbers to estimate whole-number quotients.
Topic 5: Use Models and Strategies to Divide Whole Numbers
Use Models and Properties to Divide:
Students use an area model and properties to divide with 2-digit divisors. Properties include the relationship between multiplication and division and the Distributive Property.
Use Sharing to Divide:
Students use place-value blocks in an array and sharing to divide. They then find quotients of greater numbers using an area model and sharing.
Topic 6: Use Models and Strategies to Divide Decimals
Students develop understanding of dividing with decimals using models, place-value strategies, and properties.
Divide With Decimals:
Students use models to divide decimals by 1-digit whole numbers.
Solve Problems:
Students reason about quantities and their relationships in problems.
Jennifer Wiley
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
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