MANIPULATIVES: Use concrete materials, images and representational models to solve math problems 

Grade LevelCurriculum Focus
6-7Solve problems involving fractions, including those requiring multiple steps or multiple operations
8Compare proportional situations and determine unknown values in proportional situations
9Apply an understanding of unit fractions and their relationship to other fractional amounts, in various contexts, including the use of measuring tools
Lesson Objective, Learning Goal, Success Criteria
Lesson Objectives:
Construct proportion puzzles by identifying given ratios and unknown values.
Apply proportional reasoning skills to arrive at accurate solutions to proportional puzzles.
Learning Goal: 
Understand the concept of proportions and recognize their relevance in real-life scenariosUnderstand representations of fractions and ratios, using fraction tiles and pattern blocks, as tools for representing
Success Criteria:
Accurately represent proportions using pattern blocksSolve proportional puzzles through visual representations
ModalityApplication of UDL Strategy (for Whole Class)Timing

Instruct students to use at least 10 of the pattern blocks to create the first letter of their name.Invite students to share their creations with the class.

Discuss how they approached the task and the choices made in representing their initialIntroduce the criteria that 1 hexagon is 1 whole.

Model for students how to calculate the value of their initial as a fraction, decimal, using a ratio.

The teacher will introduce the concept of proportion puzzles using visual aids such as fraction tiles and pattern blocks to represent ratios and unknown values. A common misconception to anticipate is students confuse proportionality with equality. This will be addressed through visual and hands-on activities.
10 minutes
ModalityApplication of Differentiated Instruction (for different ability levels)Timing

Working in pairs, students will solve a puzzle provided by the teacher. Each pair will be given a puzzle based on their ability. The students are expected to work together to figure out the solution to the puzzle. This type of activity promotes teamwork, problem-solving, and can be a fun and engaging way for students to apply their knowledge or skills in a practical context.
10 minutes

Bring the students back together to discuss the reflection question: How did you know what the missing blocks were? Have students discuss in a small group and then invite volunteers to share with the whole class. 
5 minutes
Measurement of Success (to ensure student’s understanding of lesson)
Students will participate in a quick closing activity where they will share their understanding of how proportion puzzles can be applied to real-life situations using Knowledgehook. 
10 minutes
Additional Resources (websites, videos)
Additional resources available to support the instructional strategy
Using the CRA Approach (website)
The Best Hands on Fraction Activity Ever (YouTube)
Teaching Fractions Using Manipulatives (YouTube)
Knowledgehook (website)



Grade 6

Grade 7 

Grade 8

Grade 9 

Application of Differentiated Instruction- Independent Practice

Grade 6-8 

Create a person using exactly 15 pattern blocks. The total value should be more than 5 and less than 8. The value of the hexagon is 1 whole. 

Grade 9

There were 10 blocks. The total value of the blocks were 2 ⅔. What are the missing blocks? Explain how you know these were the missing pattern blocks.

Measurement of Success- Knowledgehook questions 

Grade 8 & 9 

Grade 7 

Grade 6