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Investigations Into Mathematics (IM) | Unit 1 2 3 4 5 6 7

Building Understanding of Rational Number Operations

Integrating Rational Number Operations in Expressions & Equations

*Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.

The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling.

Multiply positive and negative integers using the distributive property (video tutorial)

*Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Write three algebraic expressions that are equivalent to the model shown below:

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

A group of friends are going to see the same movie and purchase the same snack. If a ticket costs $8.25 each and snacks cost $2.25 each, what expressions model the scenario?

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, where will you need to place the bar?

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Determine an equation or inequality that can describe a real world problem.

Find the number of tickets that can be purchased for an event, including the ticket surcharge. We have $100 to go to the ballgame. If tickets cost $26.50 each and we want to have $20 to buy snacks, how many tickets can we buy?

After a shopping trip, write and solve equation that can be used to determine the cost of the items.

For example, last week we bought three spiral notebooks and a pencil that costs $0.75. If we gave the cashier $10.00 and received $4.75 in change, how much did each notebook cost?

VirtualAlgebra Tiles (virtual manipulatives)