Download Creating a UDL Unit *Solving Multi

Creating a UDL Unit
“Solving Multi-Step Equations”
based on CCSS
Bridgeton Grades 7 and 8
March 24, 2016
by Judith T. Brendel
(1) http://www.njpsa.org
(2)
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BRIDGETON Grades 7-8 Solving Multi-Step Equations
(UDL) March 24, 2016 Resources
Common Core State Standards (CCSS)
GRADE 7 (link on FEA website/hdcpy)
Solve real-life and mathematical problems using
numerical and algebraic expressions and equations.
CCSS.MATH.CONTENT.7.EE.B.3
Solve multi-step real-life and mathematical problems
posed with positive and negative rational numbers in any
form (whole numbers, fractions, and decimals), 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.
Common Core State Standards (CCSS)
GRADE 8 (link on FEA website/hdcpy)
Analyze and solve linear equations and pairs of
simultaneous linear equations.
CCSS.MATH.CONTENT.8.EE.C.7
Solve linear equations in one variable.
CCSS.MATH.CONTENT.8.EE.C.7.B
Solve linear equations with rational number
coefficients, including equations whose solutions
require expanding expressions using the
distributive property and collecting like terms
Compare Expectations
GRADE 7
Simplify or Solve
Simplify (PARRC EOY 2015 released #4)
GRADE 8
Simplify or Solve
Simplify
3
(2y +1) - (y + )
2
3
(2x +1) - (x + )
2
2 3
3
( x- )
3 4
2
Solve for x; justify each step (PARRC PBA
2015 released #4)
4(x + 2) = 30
350 =12(x + 20)
−0.5x − 4 = 1.5
• Equation 2: −0.5(x − 4) = 1.5
• Equation 1:
(PARCC 2014 Practice EOY test ex. 11)
Solve for y
4x + 3y =12
Solve for x (PARRC EOY 2015 released #2)
4 - 2(x - 5) = x -19
Solve for x (PARRC PBA 2015 released #2)
3
(x - 8) = 9
4
Solve for x (PARRC PBA 2015 released #12)
-2(11-12x) = - 4(1- 6x)
Gr.8: Solve for y; explain each step
(Barron’s Gr.8 PARCC Math)
3 -1
1
4x + y = (3x - 2)- x
4
2
2
Agree on Vocabulary
2x–1+3x+4 = 2x + 3x -1 + 4 Put like terms next to each other
2x + 3x -1 + 4 = 5x+3
Combine like terms; Simplify
2(x – 2.5) =
Distribute the 2.
3x = 15
A one-step equation. Solve for x.
3y – 4 = 17
A two-step equation. Solve for y.
2
x + 4 = 6
3
Multiply each term by ….
Select all that apply. Select all that are correct.
Justify your answer. Explain. Show your understanding.
Agree on RANGE/TYPE of questions
3(x - 4)
Include multiplying with (+)(-)
-3(x - 4)
Include multiplying with (-)(-)
2(x – 2.5)
or 3.5( x + 2.5 )
2
1
x + 6 = x 3
3
2 1
( + x)
3 2
16 = x - 5
Include working with decimals.
Include fractions (+ and/or -)
Include fractions ( x and or ÷ )
2x + 6 = 3x -2
Variables on either side
Variables on both sides
(x - 5) =16
2(x + 6) = 3(x -2)
Parenthesis on either side
Parenthesis on both sides
Agree on FORMAT of questions
(A) 3
(B) 5 (C) 6 (D) 9
(A) 4 (B) 6 (C) 8 (D) 22
(E) 12 ÷ 6
Part A:
Part B:
(F) (-16)(-1/4)
Multiple Choice (A) or A) or A.
Multiple Select (more than one
right answer) A-E or A-F
Multiple Part questions
Answer: ___________
Short Constructed Response
Write your answer in
the box below.
Extended Constructed Response
The cost is less than …
The cost is less than …
Bold or not bold
Italicize or not
PRODUCTS (forms) *on FEA website
• UDL Menu Template (Standard.Topic.Activity Name)
• Teacher Notes (instruction/practice/monitor/assess)
• Student Activity (w/supply needs)
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Textbook (hardcopy or online resources)
Carousel* (3 levels) or Lab Stations (Practice/Review)
21st. Century Assembly Line*(Do one step.move/pass on)
Match cards/slips – Practice/Review (pairs, teams)
Bingo game/other game? (group)
Match Partner’s Answer* – Practice (pairs)
Tutorial (online read/see/do … online video tutorial)
Quiz* (PARCC formatted questions; online IXL)
• Student Directions
Note: PARCC paper-pencil tests available online in Spanish
Your Goal for Today
Each team/person’s objective
Complete the UDL
Sincere thanks
for your participation,
collaboration and dedicated
efforts!!!
Judy
[email protected]