THINGS I LEARNED IN 7TH GRADE
(but I know I’ll forget by the time I get to 8th grade!)
This past year has been packed full of so much fun & exciting math stuff that I know you could never forget any of it over the summer. But just in case, I wanted to send you off with some reminders of just how great this year was (and how much you really did learn).
I do NOT want you to spend every day of your summer vacation studying math (no matter how much you really want to), but it would be nice if you could review a little each week to keep things fresh in your mind. If you have a long car, plane or train ride or if you got grounded and you’re stuck in your room for a week – these would be good opportunities to review this material.
On a more serious note, it is expected that when you come back in September you have a decent grasp on all of the concepts we worked on this year. In addition to this year’s material, many of you still need to study (a lot) your basic math facts (addition, subtraction, multiplication & division). You should know at least through the 12 tables by heart – no calculator! You should also be able to add, subtract, multiply and divide fractions & decimals with and without a calculator.
I have included a general overview of all material we worked on this year (by CMP book) on this sheet. The 8th grade curriculum is based on the GLEs (grade level expectations) set up the state department of education and they focus heavily on algebra skills (used in algebra, probability, proportions, etc) so I would make sure you definitely review that material. More detailed notes are on the other links so you can access them if you need to.
Some web resources that may help you with these skills are listed below. I have not been to all of them, but they have been recommended by other math teachers in the building. If you happen to find one that is particularly good, or bad, let me know so I can share with my department.
www.factmonster.com www.mathleague.com/help/help.htm
Have a GREAT summer!! See you in September.
Miss Pinto
ALGEBRA SKILLS
You should know:
ü Order of operations
ü Add, subtract, multiply, divide integers
ü Absolute value
ü Exponents – what they are, what each number means, how to calculate
ü To evaluate expressions
ü To write algebraic expressions / equations from written phrases / sentences
ü Combining like terms
ü Solve equations – 1-step, 2-step, with like terms, with variables on both sides
COMPARING AND SCALING
You should know how to:
ü Find percents
ü Use percents to solve word problems
ü Find ratios
ü Use ratios to solve word problems
ü Find rates and unit rates
ü Find discounts, tax, tip
ü Compare using greater than, less than and equal to
ü Make estimates based on data samples
STRETCHING AND SHRINKING
You should know how to:
ü Identify and draw points on a coordinate grid
ü Predict how a figure on a coordinate grid will be affected by a given rule
ü Recognize similar figures
ü Explain what makes figures similar – characteristics
ü Determine scale factor between similar figures
ü Use scale factors to explain relationship between area and perimeter of similar figures
ü Find missing measurements in a pair of similar figures
MOVING STRAIGHT AHEAD
You should know how to:
ü Recognize linear and non-linear relationships by looking at a graph, equation or table
ü Use & understand the terms slope, y-intercept
ü Identify slope and y-intercept from a table, graph or equation
ü Find the slope of a line given any 2 points on the line
ü Explain what each number and variable represent in any equation written in y = mx + b
form
ü Be able to use a graphing calculator
ü Explain how a change in rate affects the steepness of a line
ü Write a linear relationship, expressed in words, as an equation in y = mx + b form
GEOMETRY (we'll do most of this next year)
You should know how to:
ü Determine the measurement of any angle when given either 2 intersecting lines or
2 parallel lines cut by a transversal and 1 angle measurement
ü Justify angle measurements using appropriate vocabulary
ü Identify congruent angles
ü Draw any angle measure using a protractor
ü Measure any angle using a protractor
ü Determine the sum of the angles of any polygon
ü Define or explain all vocabulary (on webpage)
ü Determine if a triangle can be made given any 3 line segments & explain why or why not
(Triangle Inequality)
ü Translate, Rotate (around origin), Reflect any given 2-D figure on a coordinate plane
FILLING & WRAPPING
You should know how to:
ü Find the surface area and volume of any prism, cylinder or cone (volume only)
ü Explain what surface area and volume are and why it would be important to know either