Download 7.RP.1, 7.RP.2, 7.RP.3

THIS WEEK IN MATH…
• COMPREHENSIVE REVIEW:
3RD NINE WEEKS TEST/BENCHMARK
• STUDY GUIDES GIVEN OUT - TUESDAY
• TURN IN ON EXAM DAY FOR 2 GRADES - 1 DAILY
GRADE & 1 TEST GRADE
• WORK ON IN CLASS AND FOR HOMEWORK THIS
WEEK
• MUST SHOW WORK FOR FULL CREDIT
THIS WEEK IN MATH…
Day
Topic/Objectives
Study Guide
Problems
Tuesday
Ratios & Proportional Relationships
7.RP.1, 7.RP.2, 7.RP.3
1, 3, 4, 6, 13, 14,
15, 19, 32, 33
Wednesday
Rational Number Operations
7.NS.1, 7.NS.2, 7.NS.3
9, 10, 11, 30, 35,
37, 43
Thursday
Expressions and Equations
7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4
2, 5, 7, 8, 12, 17,
26, 29, 31, 34
Friday
Geometry
7.G.2, 7.G.3, 7.G.4, 7.G.5, 7.G.6
16, 18, 20, 21, 22,
23, 27, 28, 38, 41
Statistics
7.SP.1, 7.SP.2
24, 25, 36, 39, 40,
42
OBJECTIVES – RATIOS AND
PROPORTIONAL RELATIONSHIPS
7.RP.1, 7.RP.2, 7.RP.3
ANALYZE PROPORTIONAL RELATIONSHIPS AND
USE THEM TO SOLVE REAL-WORLD AND
MATHEMATICAL PROBLEMS.
RATIOS & PROPORTIONAL
RELATIONSHIPS - I CAN…
• USE RATIOS WITH FRACTIONS TO FIND UNIT RATES
• IDENTIFY UNIT RATES GIVEN IN TABLES, EQUATIONS OR ON
A GRAPH
• IDENTIFY GRAPHS OF LINES THAT REPRESENT
PROPORTIONAL RELATIONSHIPS
• SOLVING PROBLEMS USING PROPORTIONAL RELATIONSHIPS
• DETERMINE WHETHER RATIOS ARE PROPORTIONAL
OBJECTIVES – NUMBER SYSTEM
7.NS.1, 7.NS.2, 7.NS.3
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS
OF OPERATIONS WITH FRACTIONS TO ADD,
SUBTRACT, MULTIPLY, AND DIVIDE RATIONAL
NUMBERS
NUMBER SYSTEM – I CAN
• ADD, SUBTRACT, MULTIPLY AND DIVIDE POSITIVE AND
NEGATIVE RATIONAL NUMBERS
• CONVERT FRACTIONS TO DECIMALS USING LONG
DIVISION
• IDENTIFY WHETHER DECIMALS ARE REPEATING OR
TERMINATING
• USE PROPERTIES OF OPERATIONS TO ADD, SUBTRACT,
MULTIPLY AND DIVIDE RATIONAL NUMBERS
OBJECTIVES – EXPRESSIONS &
EQUATIONS
7.EE.1, 7.EE.2
USE PROPERTIES OF OPERATIONS TO GENERATE
EQUIVALENT EXPRESSIONS
7.EE.3, 7.EE.4
SOLVE REAL-LIFE AND MATHEMATICAL PROBLEMS
USING NUMERICAL AND ALGEBRAIC EXPRESSIONS
AND EQUATION
EXPRESSIONS & EQUATIONS –
I CAN…
• USE THE PROPERTIES OF OPERATIONS TO ADD, SUBTRACT,
FACTOR AND EXPAND LINEAR EXPRESSIONS WITH RATIONAL
COEFFICIENTS
• CREATE EQUIVALENT EXPRESSIONS
• WRITE AND SOLVE ONE-, TWO- AND MULTI-STEP LINEAR
EQUATIONS
• WRITE AND SOLVE INEQUALITIES AND GRAPH THE SOLUTIONS
ON THE NUMBER LINE
OBJECTIVES – GEOMETRY
7.G.1, 7.G.2, 7.G.3
DRAW, CONSTRUCT, AND DESCRIBE GEOMETRICAL
FIGURES AND DESCRIBE THE RELATIONSHIPS
BETWEEN THEM
7.G.4, 7.G.5, 7.G.6
SOLVE REAL-LIFE AND MATHEMATICAL PROBLEMS
INVOLVING ANGLE MEASURE, AREA, SURFACE
AREA, AND VOLUME
GEOMETRY – I CAN…
• USE WHAT I KNOW ABOUT ANGLE RELATIONSHIPS TO SOLVE FOR
MISSING ANGLES IN PROBLEMS
• SOLVE PROBLEMS USING AREA AND CIRCUMFERENCE OF CIRCLES
• IDENTIFY UNIQUE, MORE THAN ONE, OR NO TRIANGLES GIVEN
SIDE OR ANGLE MEASUREMENTS
• IDENTIFY 2D SHAPES RESULTING FROM SLICING 3D OBJECTS
• SOLVE PROBLEMS USING SURFACE AREA OF 3D OBJECT
• SOLVE PROBLEMS USING VOLUME OF 3D OBJECTS
OBJECTIVES – STATISTICS
7.SP.1, 7.SP.2
USE RANDOM SAMPLES TO DRAW INFERENCES
ABOUT A POPULATION.
STATISTICS – I CAN…
• IDENTIFY INFORMATION ABOUT A POPULATION BY ANALYZING
DATA ABOUT A SMALLER PART OF THE POPULATION CALLED A
SAMPLE
• UNDERSTAND THAT INFORMATION ABOUT A SAMPLE CANNOT
BE APPLIED TO A POPULATION UNLESS THE IS
REPRESENTATIVE OF THAT POPULATION
• CREATE REPRESENTATIVE SAMPLES USING RANDOM SAMPLING
• USE UNIT RATES TO ESTIMATE POPULATIONS FROM
REPRESENTATIVE SAMPLES
1.
Proportional Relationship
2.
Scale Drawing
3.
Percent decrease
4.
Percent error
A. A rate is a ratio involving two quantities measured in different
units.
B. Ratios that are equivalent.
C. The percent a quantity decreases from its original amount
(original amount - new amount / original amount)
D. Ratios that are equal.
5.
Percent Increase
E. The rate for one unit of a given quantity
6.
Ratio
WARM UP
F. A fraction that contains a fraction in its numerator or
7.
Equivalent Ratios
8.
Rate
9.
Percent
denominator (or in both)
G. The percent a quantity increases from its original amount (new
amount - original amount / original amount )
H. Is a ratio that compares a length in a scale drawing to the
corresponding length in the actual object.
10.
Unit Rate
I. A comparison between two numbers.
11.
Constant of Proportionality
J. The percent that an estimated amount is different from the
12.
Complex Fraction
actual amount
K. The unit rate in a proportional relationship
L. A ratio comparing a number to 100 (Per 100)
7.RP.1, 7.RP.2, 7.RP.3
1.
Opposites
2.
Reciprocal
3.
Terminating Decimal
4.
Commutative Property
5.
Repeating Decimal
6.
Subtraction Rule
A. A decimal that repeats a digit or group of digits forever.
B. The distance a number is from zero on the number line. Always
positive. Ex. |-5| = 5
C. The property that says that two or more numbers can be
added or multiplied in any order without changing the result.
D. Another word for additive inverse. A number plus its opposite
equals zero.
E. Changing the grouping of terms when adding or multiplying
does not change the answer
7.
Order of Operations
8.
Distributive Property
9.
Additive Inverse
F. A fraction inverted (flipped upside down) - the reciprocal of
2/ 3 is 3/ 2 - also its multiplicative inverse (product is 1)
WARM UP
G. A decimal that ends
H. a(b + c) = ab + ac
10.
Associative Property
I. A number's opposite on the number line when added to each
11.
Multiplicative Inverse
12.
Absolute Value
other equal zero. Ex. -5 + 5 = 0 - -5 and 5 are additive inverses.
J. Subtracting is the same as adding the opposite of a number
(keep, change, change).
Ex. 1 - 4 = -3 and 1 + -4 = -3
K. Another word for reciprocal. A number multiplied by its
multiplicative inverse equals one. Ex. 1 x 1/ 2 = 1
L. PEMDAS - the order in which operations must be worked to
correctly solve a problem
7.NS.1, 7.NS.2, 7.NS.3
1.
Equation
2.
Two-step equation
3.
Isolate a variable
4.
Coefficient
A. A mathematical sentence with less than, greater than, less than
or equal to, greater than or equal to, or not equal
B. A number without a variable - a number that stands alone in an
expression or equation.
Ex. 4x + 5 - 5 is the constant
C. Perform all operations to leave a variable alone on one side of
the equal sign - solve an equation
5.
Variable
D. A mathematical phrase that contains operations, numbers,
6.
Expression
7.
Simplify an expression
8.
Inequality
9.
Factor an expression
and/or variables. Ex. 3x + 4x + 7
E. The number part of a term with a variable - a number being
multiplied by a variable.
Ex. 3x - 3 is the coefficient
WARM UP
F. Perform all possible operations to write an expression in the
simplest terms
Ex. 3x + 5 + 6x + 10 in simplified form is 9x + 15
10.
Like terms
G. Divide out the common factors of an expression - undo the
11.
Constant
distributive property
Ex. 4x + 6 in factored form is 2(2x + 3)
H. A letter that stands for a number
I. A mathematical sentence that contains an equal sign. Ex. 5x + 7
= 27
J. Requires that two operations to isolate the variable
K. Terms that have the same variables
Ex. 3x + 4y + 7x - 3x and 7x are like terms
7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4
12 Matching questions
A. Measures add up to 90 degrees
1.
Area of a circle
2.
Triangle
3.
Pi
4.
Complementary angles
5.
Volume of a prism
E. Distance around the circle
6.
Area of a triangle
F. A = 1/ 2bh
7.
Diameter of a circle
8.
Radius of a circle
9.
Circumference of a circle
B. Measures add up to 180 degrees
C. Half the distance across a circle - from the center to the edge
WARM UP
D. The number of cubic units a 3D object will hold; Volume = area
of the base x the height
G. Distance through the center from edge to edge across a circle
H. Sum of all angles equals 180 degrees
I. Pi times the circle's radius squared
J. Ratio of every circle's circumference to its diameter
10.
Supplementary angles
11.
Surface area of a prism
(approximately 3.14)
K. Have the same measure and are opposite from each other share only a vertex
12.
Vertical Angles
L. The sum of all of the areas of all of the faces of a prism
7.G.2, 7.G.3, 7.G.4, 7.G.5, 7.G.6