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Multiplication Unit: Multiplicative Thinking Lessons-Conceptual Understanding

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4.8 (14 ratings)
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Aubree Teaches
1.4k Followers
Grade Levels
2nd - 4th
Standards
Formats Included
  • Zip
Pages
413 pages
$7.00
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Aubree Teaches
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  1. This is the COMPLETE bundle for a multiplicative thinking unit with conceptual understanding and cognitively guided instruction.This bundle includes all 18 lessons with review pages, problem solving slides, number sense warm-up, and content slides.The bundle also includes the multiplication focus wa
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Description

A complete 3rd grade math unit covering multiplication and division with conceptual understanding. Discussion, math process skills, deep critical math thinking, and more! Looking to insure that your students UNDERSTAND math concepts? Keep hearing about CGI math but need to know HOW? Needing a way to teach the crucial mathematical process/practice standards? Cognitively-guided, problem-solving based instruction is the key!

This is the UNIT pages only - please check out the bundle that includes bonus content like:

Focus Wall: I Can Statements

Math Writing Prompts

Fact Sheets

Number Sense Warm-ups

For an in-depth video explanation & look into this resource click HERE!

If you're not quite sure, take a look at a lesson FREEBIE -it's lesson 1 from THIS unit! Click here!

Natural math is a lesson plan-resource based upon the research of cognitively-guided math instruction and high-cognitive demand problem solving skills.

*you're downloading a zip file*

The multiplicative reasoning unit has 18 lessons aligned to CCSS and Oklahoma standards. It also aligns to the mathematical process standards found here and the CCSS practice standards found here.

Natural Math is --> lessons that rely upon students' natural curiosity, intuition, and ability to solve. The teacher can help students turn that natural thinking into mathematical content.

Every lesson has 4 KEY COMPONENTS:

1. Review Pages: Once students have obtained a concept, retrieval practice is vital to insure that they are continually accessing that neural pathway. Every lesson has a spiral review "quiz".

2. Number Sense Warm-up: Every math lesson should have an overall number sense component, helping students build their intrinsic number line and think flexibly with numbers. ALL 13 of my math warm-ups are in the multiplicative reasoning unit (and can be bought separately here)

3. High-Cogntive Demand Problem Solving Task: This is one problem that is high-demand and open with multiple entry and exit points. Students will be working with a lot of math content as well as using mathematical practices. Solving these problems is a great way to introduce content, discuss it, and learn it deeply.

4. Content Slides: These are slides that include vocabulary, discussion, problem practice, graphic organizers, and more. Each lesson covers a different skill and is made for the teacher to use openly to meet the needs of their students.

There are 18 lesson in this unit.

WHAT'S COVERED IN THIS UNIT?

Equal Groups & Repeated Addition

Skip Counting & Number Lines

Arrays

Representing Multiplication Problems

Commutative Property

Word Problems

Distributive Property

Division: Size of groups

Division: Number of groups

Fact Families

Multiplication Fact Strategies

-> x0, x1

-> x2, x5

-> x10, x9

-> x3

-> x4

-> x6, x8

-> x7

Associative property

Multiplying 3 factors

Unknown Factor problems

Patterns with Multiplication

Please email aubreeteaches@gmail.com with any questions or comments.

Visit the blog for MORE information on cognitively-guided math or problem solving!

Happy Teaching!

Total Pages
413 pages
Answer Key
Included
Teaching Duration
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Standards

to see state-specific standards (only available in the US).
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = __ ÷ 3, 6 × 6 = ?.
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

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