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Grade 7 Math

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Abstract: Grade 7 MathRevised 7/2008Topic:Subsets of Real NumbersEssential Questions:How do numbers fit into different groups?How are numbers related?Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas

Grade 7 Math
Revised 7/2008
Topic:
Subsets of Real Numbers
Essential Questions:
How do numbers fit into different groups?
How are numbers related?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.N.1 Distinguish between the various subsets of What is the difference between a Students will classify numbers State Exam Questions Daily Warmups
real numbers (counting numbers, whole numbers,
integers, rational numbers, and irrational rational number and an irrational into subsets. POD
numbers). number? Students create posters on how to recognize Theme Posters
7.N.2 Recognize the difference between rational Students will evaluate and subsets of numbers. Homework
and irrational numbers (ex. Explore the different What is the difference between simplify exponential expressions. Quiz
approximations of ).
2x3 and 23? Line up students with number line on the floor. Test
7.N.3 Place rational and irrational numbers
(approximations) on a number line and justify the Students will convert numbers
placement of the numbers. between scientific and standard Scientific Notation Bingo.
7.N.4 Develop the laws of exponents for notation.
multiplication and division
7.N.5 Write numbers in scientific notation.
7.N.6 Translate numbers from scientific notation
into standard form.
7.N.7 Compare numbers written in scientific
notation.
7.N.14 Develop a conceptual understanding of
negative and zero exponents with a base of ten
and relate to fractions and decimals.
7.N.15 Recognize and state the value of the
square root of a perfect square (up to 225).
7.N.16 Determine the square root of nonperfect
squares using a calculator.
7.N.17 Classify irrational numbers as non
repeating/nonterminating decimals.
7.N.18 Identify the two consecutive whole
numbers between which the square root of a non
perfect square whole number less than 225 lies.
7.N.19 Justify the reasonableness of answers
using estimation.
Connections to Text (Resources): 33, 13, 28, 29, 31, 32 Time: ~2 weeks
Connections to Technology:
Key Vocabulary: Natural numbers, whole numbers, integer, rational number, irrational number, exponent, scientific notation, square root
1
Grade 7 Math
Revised 7/2008
Topic:
Integers
Essential Questions:
How are numbers related?
What would the world be like without numbers?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.N.8 Find the common factors and What is the difference between Students will find the LCM. Integer Bingo Daily Warmup
greatest common factor of two or factors and multiples? POD
more numbers. Students will find the GCF. Integer Race Theme Poster
Homework
7.N.9 Determine multiples and least Students will express a number The Great Factor Number Race Quiz
common multiple of two or more as a product of prime numbers. Test
numbers.
Students will add, subtract,
7.N.10 Determine the prime multiply, and divide integers.
factorization of a given number and
write in exponential form.
7.N.12 Add, subtract, multiply, and
divide integers.
7.N.13 Add and subtract two integers
(with and without the use of a number
line).
Connections to Text (Resources): P 610, P 612, P 609, 14, 15, 16 Time: ~3 weeks
Connections to Technology:
Key Vocabulary: Factor, multiple, prime factorization, prime, composite, integer
2
Grade 7 Math
Revised 7/2008
Topic:
Formulas, Expressions, and Equations
Essential Questions:
Why is order important?
What do the best problem solvers in the world do to get answers?
Why are procedures/formulas important?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.N.11 Simplify expressions using In what order should the Students will simplify expressions Algebra Tiles Daily Warmups
order of operations. Note: operations be done when using order of operations. POD
Expressions may include absolute simplifying an expression? Theme Poster
value and/or integral exponents Students will solve equations and Homework
greater than 0. What is the inverse of inequalities Quiz
_____________? (Addition, Test
7.A.1 Translate twostep variable Subtraction, Multiplication, Students will graph solutions to
expressions into algebraic Division). inequalities on the number line.
expressions.
7.A.5 Solve onestep inequalities
(positive coefficients only).
7.A.6 Evaluate formulas for given
input values (surface area, rate, and
density problems).
7.G.10 Graph the solution set of an
inequality (positive coefficients only)
on a number line.
Connections to Text (Resources): 12, 17, 105, 106, 107 Time: ~2.5 weeks
Connections to Technology:
Key Vocabulary: Algebraic expression, algebraic equation, inequality, equation, solution, term, variable expression
3
Grade 7 Math
Revised 7/2008
Topic: Solids and Circles
Essential Questions:
How and where is geometry used in the real world?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.G.1 Calculate the radius or What is the difference between Students will calculate the volume Set up stations with different objects. Daily Warmups
diameter, given the circumference or surface area and volume? and surface area of various 3D POD
area of a circle. shapes. Create 3D shapes out of paper material. Theme Posters
What are some real life situations (formulas)
7.G.2 Calculate the volume of prisms in which you would need to know Students will develop and use a Homework
and cylinders, using a given formula the surface area? The volume? formula to determine the number Quiz
and calculator. of angles in a polygon. Test
How many degrees are in a
7.G.3 Identify the twodimensional quadrilateral?
shapes that make up the faces and
bases of threedimensional shapes
(prisms, cylinders, cones, and
pyramids).
7.G.4 Determine the surface area of
prisms and cylinders, using a
calculator and a variety of methods.
7.G.7 Find a missing angle when
given angles of a quadrilateral.
7.A.9 Build a pattern to develop a rule
for determining the sum of the interior
angles of polygons.
Connections to Text (Resources): 72, 74, 75, 76, 77, 78, 64, 65a Time: ~3 weeks
Connections to Technology:
Key Vocabulary: Adjacent angle, interior angle, exterior angle, circumference, diameter, surface area, volume, radius, cones, cylinders, prisms, pyramids
4
Grade 7 Math
Revised 7/2008
Topic:
Probability
Essential Questions:
When is it useful to make a prediction?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.S.8 Interpret data to provide the What is the probability of having a Students will understand and Skittles exercise Daily Warmups
basis for predictions and to establish probability greater than 1? apply the concepts of probability. POD
experimental probabilities. Conduct experiments with die, spinners, coins, etc. Homework
Students will design and predict Quiz
7.S.9 Determine the validity of the outcome of an experiment. Test
sampling methods to predict
outcomes.
7.S.10 Predict the outcome of an
experiment.
7.S.11 Design and conduct an
experiment to test predictions.
7.S.12 Compare actual results to
predicted results.
Connections to Text (Resources): 81, 82, 85, 86, 87 Time: ~ 2 weeks
Connections to Technology:
Key Vocabulary: Experiment, prediction, probability
5
Grade 7 Math
Revised 7/2008
Topic:
Statistics and Graphing
Essential Questions:
How do we analyze data?
How do we know if data is accurate?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.M.8 Draw central angles in a given How can statistics be used to Students will collect, display, and Student survey and create poster board size graph Daily Warmups
circle using a protractor (circle mislead you? analyze data. POD
graphs). Homework
Which would you rather have on Students will make predictions Quiz
7.S.1 Identify and collect data using a your report card, your mean that are based upon data Test
variety of methods. grade or your median grade? analysis.
Why?
7.S.2 Display data in a circle graph.
7.S.3 Convert raw data into double
bar graphs and double line graphs.
7.S.4 Calculate the range for a given
set of data.
7.S.5 Select the appropriate measure
of central tendency.
7.S.6 Read and interpret data
represented graphically (pictograph,
bar graph, histogram, line graph,
double line/bar graph, or circle graph).
7.S.7 Identify and explain misleading
statistics and graphs.
Connections to Text (Resources): 91, 92, 93, 94, 97, Time: ~ 4 weeks
Connections to Technology:
Key Vocabulary: Circle graph, conduct, double bar graph, double line graph, measure of central tendency, range, validity of sample methods.
6
Grade 7 Math
Revised 7/2008
Topic:
Measurement
Essential Questions:
Why is measuring something useful?
What things can be measured and how do you measure them?
What strategies do we use to make estimations?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.M.2 Convert capacities and What is the difference between Students will convert between Group conversion tables. Daily Warmup
volumes within a given system. weight and mass? units of volume or mass. POD
Stations activity. Homework
7.M.3 Identify customary and metric Students will measure mass. Quiz
units of mass. Have students bring in shopping ads and convert Test
Students will round to the currency.
7.M.4 Convert mass within a given appropriate place value.
system.
7.M.9 Determine the tool and
technique to measure with an
appropriate level of precision: mass.
7.M.12 Determine personal
references for customary/metric units
of mass
7.M.13 Justify the reasonableness of
the mass of an object.
Connections to Text (Resources): Prerequisite Skills 3, 4, supplemental materials Time: ~3 weeks
Connections to Technology:
Key Vocabulary: Exchange rate, customary units of mass, levels of precision, convert, relative error
7
Grade 7 Math
Revised 7/2008
Topic:
Proportion & Scale
Essential Questions:
What makes quantities proportional?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.M.1 Calculate distance using a map How do you determine the better Students will solve proportions. Stress order in proportions POD
scale. buy? Homework
Students will calculate and Call banks for current exchange rate Quiz
7.M.5 Calculate unit price using How do we set up a proportion? compare unit prices. Test
proportions. Use scale drawings of building project
How do you make things Students will calculate distances
7.M.6 Compare unit prices. proportional? using map scale.
7.M.7 Convert money between Students will convert currency
different currencies with the use of an exchange.
exchange rate table and calculator.
Connections to Text (Resources): Chapter 4, supplementary materials Time: ~1 week
Connections to Technology:
Key Vocabulary: proportion, scale
8
Grade 7 Math
Revised 7/2008
Topic:
Expressions, Equations, and Graphs
Essential Questions:
How does an equation relate to a graph?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.A.1 Translate twostep verbal How do we graph from a table? Students will make a table of values Balance Scale POD
expressions into algebraic expressions. to graph an equation. Homework
Can an equation have mare than one Inverse operations Quiz
7.A.2 Add and subtract monomials with correct answer? Students will write an equation from a Test
exponents of one. table.
Students go to graph board
How do we use an equation to get a
7.A.3 Identify a polynomial as an table of values? Students will translate algebraic
algebraic expression containing one or expressions.
more terms.
Students will solve equations.
7.A.4 Solve multistep equations by
combining like terms, using the Students will evaluate algebraic
distributive property, or moving variables expressions.
to one side of the equation.
Students will classify polynomials.
7.A.6 Evaluate formulas for given input
values (surface area, rate, and density Students will add/subtract like terms.
problems).
Students will use tables and graphs
7.A.7 Draw the graphic representation of to show patterns.
a pattern from an equation or from a table
of data.
7.A.8 Create algebraic patterns using
charts/tables, graphs, equations, and
expressions.
7.A.10 Write an equation to represent a
function from a table of values.
Connections to Text (Resources): Chapter 1011 Time: ~7 weeks
Connections to Technology:
Key Vocabulary: ordered pair, monomial, binomial, trinomial, cue word for operations, inverse operations, distributive property
9
Grade 7 Math
Revised 7/2008
Topic:
Pythagorean Theorem
Essential Questions:
How do we use geometry in life?
What do squares have to do with the Pythagorean Theorem?
Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas Assessment Ideas
(Instructional Strategies) (evidence of understanding)
7.G.5 Identify the right angle, What are the legs in a right Students will identify parts of a Notes POD
hypotenuse, and legs of a right triangle? triangle. Homework
triangle. Examples Quiz
What is the relationship between Students will develop and use the Test
7.G.6 Explore the relationship the legs and the hypotenuse in a Pythagorean Theorem.
between the lengths of the three right triangle?
sides of a right triangle to develop the Students will determine if a
Pythagorean Theorem. triangle is a right triangle.
7.G.8 Use the Pythagorean Theorem
to determine the unknown length of a
side of a right triangle.
7.G.9 Determine whether a given
triangle is aright triangle by applying
the Pythagorean Theorem and using
a calculator.
Connections to Text (Resources): Chapter 3 Time: ~1 week
Connections to Technology:
Key Vocabulary: Hypotenuse, leg
10
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