Announcements 3/26 Homework – Distributing Practice – Weekly Math #20 Corrections AE schedule this week Tuesday - 2B, Wednesday – Iready, Thursday – 3B, Friday - Iready

Warm Up – Wednesday a)A soccer league spent a total of $6,372 during the last 18 months. Each month the league spent the same amount. How much did they spend each month? b)Which point is the image of point R(4,-7) first reflected across the x-axis and then across the y-axis? *when checked put your warm up book up

Lesson 12 – Distributing Expressions

Opening Exercise a)Create a model to show 2 · 5 b)Create a model to show 2 · b, or 2b

Stretch Break

Example 1 Write an expression that is equivalent to 2(a + b) 1)Which operation do we start with? 2)How many groups of (a + b) do we need to draw? 3)How many a’s and how many b’s are in the diagram? 4)How would the model look if we grouped the a’s together and the b’s together? 5)What new expression could we write?

Example 1 cont 2(a + b) = 2a + 2b To prove these are equivalent expressions let’s test them by plugging in values for a and b Let a = 3 and b = 4

Example 2 Write an expression that is equivalent to double (3x + 4y) 1)Write the expression 2)Is this expression in factored form, expanded form, or neither? 3)Create a model for 3x + 4y 4)Now double your model 5)Are there terms that we can combing?

Example 2 cont. What is an equivalent expression that we can use to represent 2(3x + 4y)?

Example 3 Write an expression in expanded form that is equivalent to the model below. What factored expression is represented in the model? How can we rewrite this expression?

Example 4 How can we shortcut our other models to distribute expressions? Write an expression that is equivalent to 3(7d + 4e)

Practice Complete and glue/staple/tape into notebook

Homework Use the distributive property to expand the following expressions. 1)2(b + c) 2)5(7h + 3m) 3)e(f + g)

Announcements 3/27 Homework – Practice writing division expressions – Quiz over lessons tomorrow – Weekly Math #20 Corrections due tomorrow AE schedule this week Tuesday - 2B, Wednesday – Iready, Thursday – 3B, Friday – Fundraiser Celebration

Warm Up – Thursday a)A scientist recorded the top flight speed of two peregrine falcons. One flew km/h and the other flew km/h. What was the difference in their two speeds? b)Three points representing the corners of a rectangular garden are A(-7,3), B(7,3), C(7, -3). What would the fourth coordinate be? Find the dimensions of the rectangle. *Have your homework on your desk; when warm up is checked put your warm up book up

Review Exercises and Homework Use the distributive property to expand the following expressions. 1)2(b + c) 2)5(7h + 3m) 3)e(f + g)

Stretch Break

Lesson 13 – Writing Division Expressions

Discussion How can we write or show 8 divided by 2? How would we show a divided by b using a fraction?

Example 1 Write an expression showing 1 ÷ 2 without the use of the division symbol Make a model of 1 ÷ 2 Is ½ the same as 1 ÷ 2?

Example 2 Write an expression showing a ÷ 2 without the use of the division symbol Make a model of a ÷ 2 Is a the same as a ÷ 2 2 Rule: dividend ÷ divisor =

Example 3 a)Write an expression showing a ÷ b without the use of the division symbol. – Which is the numerator? – Which is the denominator? b)Write an expression for g divided by the quantity h plus 3. – Write with the division symbol – Now write with a fraction

Example 3 cont c)Write an expression for the quotient of the quantity m reduced by 3 and 5. – Write with division symbol first – Now convert to fraction form

Practice Complete and glue/staple/tape into notebook

Lesson 13 – Writing Division Expressions

Example: 10 divided by 7 Equivalent Expressions The quotient of 10 and ÷ 7

Homework Rewrite the expressions using the division symbol AND as a fraction. 1)The quotient of m and 7 2)Five divided by the sum of a and b 3)The quotient of k decreased by 4 and 9