Warm Up: Equation Placemat. Homework Check Last Class: We discussed inverse operations. Fill in the following graphic organizer to see what you remember.

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Presentation transcript:

Warm Up: Equation Placemat

Homework Check

Last Class: We discussed inverse operations. Fill in the following graphic organizer to see what you remember.

Last class we used inverse operations to solve equations (a.k.a. working backwards). To summarize what it means to work backwards we will create a Do/Undo foldable chart for the equation: 2x - 8 = 20 Step 1: Cut out the rectangle on the left and each line on the left. Step 2: Write the equation we are solving at the top of the page. Step 3: Fold the page in half. Step 4: Write the steps used to build the equation (one per box) on the front. Step 5: Write the steps to UNDO the equation on the inside. Step 6: Add arrows as appropriate. *This will help us remember to always do the OPPOSITE and visualize the process.

The references we created should be kept in your binder and will help you remember how to solve equations. So far we have looked at equations algebraically, now we will look at them pictorially (using PICTURES)... -Pictures come in very handy when there are variables on both sides of an equation.

? -What would we do to get both sides of the scale the same?

Algebraically Pictorially Check:

Balancing with negative terms gets a little more complicated... AlgebraicallyPictorially

Independent Practice: Pages # 4-6 *If not completed in class to be completed for homework.

? ? ?

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End of lesson

Using Models to Solve Equations Activating Prior Knowledge:  We can use balance scales to solve an equation. 3x = 27 Replace 27 g in the right pan with 3 equal masses. Each mass is 9 g. So, each unknown mass is 9 g. x = 9 Activating Prior Knowledge continues

Activating Prior Knowledge: Using Models to Solve Equations  We can use algebra tiles to solve an equation. 2j – 3 Isolate the j-tiles on the left side. Add 3 positive unit tiles to each side to make zero pairs. There are 2 j-tiles. So, arrange the unit tiles into 2 equal groups. The solution is j = –5

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