Handouts: Creating a Unit Plan
Handout: Unit Plan Template
Name: Leticia HerreraDate: November 25, 2014
UNIT INFORMATION**Cut and paste this information from the applicable unit within your Long Term Plan**
Grade/Subject: / 7th grade math
Unit Name: / Algebraic Equations
Length of Unit: / 4 weeks
UNIT STANDARD
**Cut and paste this information from the applicable unit within your Long Term Plan**
Learning Goals / 7th Grade Math:
- Make sense of problems and persevere in solving them.
- Reason abstractly and
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity I repeated reasoning.
Remedial (R)
Enrichment (E)
(to be completed after receiving diagnosticassessment results) / 7th grade Math (remedial):
When quantities are related, knowing the values of one quantity can help find the value of the other.
Relationships can be represented using equations, graphs, tables, and words.
(Enrichment):
Students will identify that some representations of relationships make it easier to make predictions and solve problem.
Curricular Resources / Engaged New York
Kuta Software
Worksheet Place
School textbook by McGraw-Hill
Math-Drills.com
Step 1: Creating Vision and Planning for Assessment
1st Unit Plan - GOAL
Students will be able to solve Multi-step equations (word problems) with 75% accuracy.
1st Unit Plan – Planning For Assessment
How will I measure my 1st Unit Goal?
I will be assessing my students with a Unit assessment (word problems).
How will I measure progress toward the 1st Unit Goal?
I WILL BE ASSESSING MY STUDENTS BY GIVING THEM TICKETS OUT THE DOOR AND/OR BELL Work, student’s homework, and classwork.
1ST Unit Plan –Big Ideas
Students will know:
- Algebraic symbols and variables represent unknown or changing values.
- Inverse operations are used to solve Questions.
- An equality is a number sentence that shows the relationship between quantities that are not equal.
UNIT ASSESSMENT ALIGNMENT GUIDE
Standard # / Standard / Aligned Item #’s / Points Correct / Points Possible / Grade
(%)
7.EE.B.3.
7.EE.B.4 / SWBAT write algebraic expressions
SWBAT solve one-step equations. / 1-12 / 68 / 204 / 33.33%
7.EE.B.3
7.EE.B.4 / SWBAT write two-step algebraic equations.
SWBAT solve two-step algebraic equations word problems / 13-21 / 119 / 153 / 77.77%
7.EE.B.3
7.EE.B.4 / SWBAT write multi-step algebraic equations.
SWBAT solve multi-step algebraic equations (word problems). / 22-35 / 119 / 238 / 50%
TOTAL: / 306 / 595 / 51.43%
Handouts: Creating a Unit Plan
Step 2: Lesson ObjectivesStandard / Daily Lesson Objective(s) / # of days
1 day = xx min. / Lesson Plan Notes
7.EE.B.4
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.
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 / SWBAT write algebraic expressions
SWBAT write and solve one-step equations. / 3 days
60 min
3 days
60 min / Students will be reviewing how to write algebraic expressions before writing and solving one-step equations.
7.EE.B.4Use 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.
. / SWBAT write two-step algebraic equations. / 3 days
60 min / Take an extra day to practice writing and solving two-step algebraic equations (word problems. Review after returning from day off from Veteran’s Day.
Test on Thursday 13, instead on Friday.
Friday November 14 review test scores and review some missed problems.
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
7.EE.B.4 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. / SWBAT solve two-step algebraic equations word problems / 4 days
60 min. / Take an extra day to practice writing and solving two-step algebraic equations (word problems. Review after returning from day off from Veteran’s Day.
Friday November 14, start teaching how to write multi-step after reviewing test.
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.
7.EE.B.4 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. / SWBAT write multi-step algebraic equations.
SWBAT solve multi-step algebraic equations (word problems). / 2days
60 min.
3 days
60 min. / Start teaching how to write multi-step algebraic equations November 14 after reviewing test #2.
Review on November 20 for test on Friday.
Unit Review and Assessment / Multi-step Equations / 1 day
60 min
TOTAL / 19 days
1140 min.
STEP 3: Calendar
CALENDAR OF DAILY OBJECTIVES
October 2014
Monday / Tuesday / Wednesday / Thursday / Friday
Parent/Teacher Conferences / Parent/Teacher Conferences / Parent/Teacher Conferences
INTERSESSION
School closed / INTERSESSION
School Closed / INTERSESSION
School Closed / INTERSSESION
School Closed / INTERSESSION
School Closed
SWBAT write algebraic expressions / SWBAT write algebraic expressions / SWBAT write algebraic expressions / SWBAT solve linear expressions. / SWBAT solve linear expressions.
SWBAT solve linear expressions. / Review- writing and solving linear expressions. / Test- solving and writing linear expressions.
Review / Review test results with students and review missed problems. / Halloween
STEP 3: Calendar
CALENDAR OF DAILY OBJECTIVES
November 2014
Monday / Tuesday / Wednesday / Thursday / Friday
SWBAT write two-step algebraic equations. / SWBAT write two-step algebraic equations. / SWBAT write two-step algebraic equations / SWBAT write and solve two-step algebraic equations / SWBAT write and solve two-step algebraic equations
SWBAT write and solve two-step algebraic equations word problems. / VETERAN’S DAY / SWBAT write and solve two-step algebraic equations word problems.
Review / TEST- writing two-step equations and solving two-step algebraic equations word problems. / Review test results with students and review some missed problems
SWBAT write multi-step algebraic equations.
SWBAT write multi-step algebraic equations. / SWBAT solve multi-step algebraic equations (word problems). / SWBAT solve multi-step algebraic equations (word problems). / SWBAT solve multi-step algebraic equations (word problems).
Review / TEST- solve multi-step algebraic expressions (word problems).
Unit assessment
THANKSGIVING RECESS / THANKSGIVING RECESS
Assessment
The assessment covers three concepts taught found within my unit plan. The first concept is writing and solving one-step equation (word problems) 1-12, the second concept is writing and solving two-step equations (word problems) 13- 21, and the third concept being asses is solving multi-step equation (word problems) 22-35. As follows is the assessment I used for my Pre- and Post-assessment and in-class / homeworkthat I used for the unit plan.
Algebraic Equations
1)Which is equivalent to 2a – 16?
A)2(a-16)
B)a(2-16
C)2(a-8)
D)2a(1-8)
2)The car went 120 miles at a speed of 40 miles each hour?
Which operation would be best to find out how many hours it took to go 120 miles?
A)Addition
B)Subtraction
C)Division
D)Multiplication
3)A video game cost $21 more than controller. Together, the video game and the controller cost $76.
Write an equation to determine the cost X of the controller?
A)x-(x-21)=76; -x2 + 21x = 76
B)x+21=76; x = 55
C)x-(x+21)=76; x = -x2- 21x = 76
D)x+(x+21)=76; x2 + 21x = 76
4)What is the value of b?
b + 10 = -13
A)3
B)-3
C)-13
D)-23
5)At the music gallery all the CDs are on sale for 15% off the regular, price p. Nathan bought 3 CDs that were all the same regular price. Write an expression that represents what Nathan paid before taxes. If the regular price for each CD Nathan bought was $13.50, what was the total cost before taxes?
6)What is the value of n?
3n=12
A)15
B)7
C)12
D)None of the above
7)What is the value of x?
4x – 5 = -33
A)-8
B)-7
C)-6
D)-4
8)Jose went to watch a soccer game. At a concession stand, hot dogs are $1.50, hamburgers are $ 3, and soft drinks are $2. Write an expression for the total cost of buying h hot dogs, b hamburgers and s soft drinks. Find the total cost of 2 dogs, 2 hamburgers, and 4 soft drinks.
9)X -3 = 4
10)-13m = -377
11)-10 = x -21
12)-8 –p = - 13
Solve the following problems and SHOW ALL YOUR WORK.
13)Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How many miles can he drive?
14)When 12 is subtracted from 3 times a number, the result is 24. Find the number.
15)Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
16)If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
17)Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of $23.65, what was the cost of the paints?
18)Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car a full. How much did Ryan par per month?
19)Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?
20)V-10 + 3 = 7
A)-20
B)20
C)-14
D)14
21)22 = -22 -(11k)
A)0
B)-0
C)-4
D)4
Read each question carefully and SHOW ALL WORK FOR EACH PROBLEM.
22)If 2x- 10 = 12, what is the value of x + 4
A)1
B)5
C)15
D)22
23)What is the value of X?
4x – 5 =-33
A)-8
B)-7
C)-6
D)-4
24)The salesman earns daily pay of $50 plus $7 for every salehe makes. His total daily income, I, for selling n items is given by the equation
I = 7n + 50.
If the salesmen earned $120 for one day of work, how many sales did he make?
A)6
B)8
C)10
D)12
25)What is the value of m?
3m + 1 = 37
A)-38
B)12
C)13
D)36
26)What vaule of X makes the equation below true?
2.4x + 1.58 = 2.3
A) 0.3
B) 0.624
C) 3
D) 6.24
27)What value for x makes the equation true?
3x + 4 =25
A)7
B)29/3
C)9
D)63
28)The total cost c for pizza in dollars for t toppings is given by the equation
C = 9.95 + 3.00t
If the total cost for the pizza was $12.95, how many toppings did the pizza have?
A)4
B)3
C)2
D)1
29)Which of the following is equivalent to the expression below?
14 + 3x -20
A)14 – 17x
B)3x – 6
C)3x + 6
D)17x – 20
30)What is the value of x?
2/3x – 1/3 = 5/3
A)X =3
B)X =4
C)X = 3/2
D)X = 3/5
31)What is the value of x?
-4x + 2x = 26
A) -18
B)-13
C)-6
D) -4
32)If x – 4 = 3, what is the value of x = 1?
A)1
B)2
C)7
D)8
33)If 2x – 10 = 12, what is the value of x + 4
A)1
B)5
C)15
D)22
34)Which is the solution to this equation?
x/10 – 5 =5
A)X= 100
B)X=10
C)X=1
D)X=0
35)Which is the solution to this equation?
7 + x/4 = 5
A)X=36
B)X=3
C)X= -3
D)X= -8
Name :Score :
Teacher :Date :
Word Problems
1) Alyssa found sixty - four seashells on the beach, she gave Sam some of her seashells. She has nineteen seashell left. How many seashells did she give to Sam ? ______
2) Sam has 38 books in his library. He bought several books at a yard sale over the weekend. He now has 60 books in his library. How many books
did he buy at the yard sale ?______
3) There were 36 bales of hay in the barn. Fred stacked more bales in the barn today. There are now 91 bales of hay in the barn. How many bales did
he store in the barn ?______
4) Jessica is baking a cake. The recipe calls for eight cups of flour. She already put in
three cups. How many more cups does she need to add ?______
5) Last week Jason had 45 dollars. He washed cars over the weekend and
now has 61 dollars. How much money did he make washing cars ?______
6) How many packs of DVD's can you buy with one hundred seventeen dollars
if one pack costs thirteen dollars ?______
7) How many ink cartridges can you buy with one hundred twenty - six dollars if
one cartridge costs eighteen dollars ?______
8) There were 9 roses in the vase. Sara cut some more roses from her flower garden. There are now 17 roses in the vase. How many roses did she cut ? ______
9) After eating at the restaurant, Fred, Melanie, and Tom decided to divide the bill evenly. If each person paid thirty - five dollars, what was the total of the bill ? ______
10) After paying 6 dollars for the pie, Sandy has 88 dollars left.
How much money did she have before buying the pie ?______
Name :Score :
Teacher :Date :
Two-step Equations Word Problems
1) Sandy spent half of her allowance going to the movies. She washed the family car and earned 9 dollars. What is her weekly allowance if she ended with
12 dollars ?______
2) Sandy bought a soft drink for 4 dollars and 8 candy bars. She spent
a total of 44 dollars. How much did each candy bar cost ?______
3) The sum of three consecutive even numbers is 126.
What is the smallest of the three numbers ?______
4) Alyssa sold half of her comic books and then bought 9 more. She now has
18. How many did she begin with ?______
5) Sara had 193 dollars to spend on 8 books. After
buying them she had 17 dollars. How much did each book cost ?______
6) The sum of three consecutive odd numbers is 75.
What is the smallest of the three numbers ?______
7) The sum of three consecutive numbers is 132.
What is the smallest of the three numbers ?______
8) Oceanside Bike Rental Shop charges a 13 dollar fixed fee plus 6 dollars an hour for renting a bike. Mary paid 43 dollars to rent a bike. How many
hours did she pay to have the bike checked out ?______
9) Mike bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 36 cards left.
How many cards did Mike start with ?______
10) On Monday, 232 students went on a trip to the zoo. All 4 buses were filled and 8 students had to travel in cars. How many students were
in each bus ?______