# Prime Why PR1ME Works Menu

#### Why PR1ME Works

## Teaches via problem solving

PR1ME Mathematics teaches via problem solving through the systematic development of problem sets; and by focusing on both aspects of problem solving - the method and the process.

### Focus on the Problem Solving Process

PR1ME Mathematics explicitly teaches an efficient 4-step UPAC problem solving process. This process builds good habits for approaching mathematical problems of all levels of difficulty.

#### 1

**Understand** the problem

- Can you describe the problem in your own words?
- What information is given?
- What do you need to find?
- Is there information that is missing or not needed?

#### 2

**Plan** what to do

- What can you do to help you solve the problem?
- Here are some things you can do:

- Draw a picture

- Make a list

- Choose an operation

- Guess and check

- Look for a pattern

- Make suppositions

- Act it out

- Work backwards

- Solve part of the problem

#### 3

###### Work out the **Answer**

- Solve the problem using your plan in Step 2.
- If you cannot solve the problem, make another plan.
- Show your work clearly.
- Write the answer statement.

#### 4

**Check**

- Read the question again. Did you answer the question?
- Does your answer make sense?
- Is your answer correct?
- If your answer is not correct, go back to Step 1.

### Focus on the Problem Solving Method

PR1ME Mathematics explicitly teaches different problem solving strategies and how to select, express, categorize and compare these strategies.

#### Problem Solving Strategies

- Draw a Picture

- Make a List

- Choose an Operation

- Guess and Check

- Look for a Pattern

- Make Suppositions

- Act it Out

- Work Backwards

- Solve Part of the Problem

### The Bar Model Method

The Bar Model Method is one of the most powerful strategies for mathematical problem solving. It allows students to solve complex word problems using visual representation.

- The Part-Whole Model enables students to understand the concept of addition (given the parts, find the whole).

- The Comparison Model enables students to compare two quantities and shows the difference in quantities.

- The Bar Model Method enables the students to think conceptually, allowing them to do algebraic thinking without having to do algebra.

**Example:**

Pearl read 10 pages of a book on Monday. She read 1/3 of the remainder on Tuesday. If she still had 24 pages to read, how many pages were in the book?

### Varied Problem Sets

Students progress through different types of problem sets including word problems, non-routine problems, problem posing tasks and mathematical modeling.

#### Word Problems

- Enable students to apply knowledge learned and make mathematics relevant to daily life.
- Assess students’ ability to apply knowledge learned.

#### Non-routine Problems

- Provide opportunities for students to apply knowledge to unusual or complex problem situations.
- Develop higher order thinking skills.

#### Problem Posing Tasks

- Provide students with opportunities to pose problems and deepen conceptual understanding.
- Develop positive attitudes and perseverance.

#### Mathematical Modeling Tasks

- Allow students to model solutions on real-world problem situations using various mathematical methods and tools.
- Encourage collaborative learning.

#### Mathematical Modeling Tasks

- Teacher notes provide a task facilitation structure and help teachers scaffold the learning experience for students.

#### Mathematical Modeling Tasks

- Rubrics help teachers to assess student performance