KMS 7th Grade Math Curriculum Map/Pacing Guide

advertisement
KMS 7th Grade Math Curriculum Map/Pacing Guide
Inquiry
Modules
(Sequential)
Proportional
Relationships
Sense-making
CONCEPT
Standards
Sense-making
STRATEGIES
Standards
Sense-making
APPLICATION/
MODELING
Standards
Computing unit rates associated
with ratios of fractions in context
Representing and solving
proportional relationships
including scale drawings
7.RP.1
7.RP.2
7.RP.1, 7.G.1
7.RP.3, 7.G.1
1)
Using proportional relationships to
solve multistep ratio and percent
problems
7.RP.3
7.RP.1
7.RP.3
1)
Understanding addition and
subtraction with positive and
negative rational numbers and
solving problems in contextual
situations
Understanding multiplication and
division with positive and negative
rational numbers and solving
problems in contextual situations
Converting rational numbers to
decimal form and solving
problems in contextual situations
7.NS.1
7.NS.2
7.NS.3
Decide whether two quantities are
in a proportional relationship by
testing ratios in a table or graphing
on a coordinate plane
Identify the constant of
proportionality (unit rate) in
tables, graphs, equations,
diagrams, and verbal descriptions
7.RP.2 a, b
7.EE.3
Represent proportional
relationships by equations
Explain what a point (x,y) on the
graph of a proportional
relationship means in terms of the
situation – special attention to
(0,0) and (1,r) when r is a unit rate
Use proportional relationships to
solve multistep ratio and percent
problems
7.RP.2 c, d
7.RP.2a,b
7.EE.3
Critical Focus
Areas
Proportional
Relationships
with Rates
Student Focal Points
1)
2)
10 days
Proportional
Reasoning
with Percents
Proportional
Relationships
with Percents
2013-2014
10 days
Operations
with Rational
Numbers
Proportional
Relationships
Rational
Numbers
2)
Expressions &
Equations
Proportional
Relationships
20 Days
3)
Testing
Proportional
Relationships
and Unit Rate
1)
2)
10 Days
Representing
other
Algebraic
Relationships
Using
equations,
graphs of
proportional
relationships
to solve
multistep
problems
10 Days
1)
2)
3)
7.EE.3
KMS 7th Grade Math Curriculum Map/Pacing Guide
Solving
Equations
Applying
properties of
operations as
strategies to
rewrite
expressions
and solve
equations
10 Days
Solving
Inequalities
Solve
inequality
Word
problems
1)
Apply properties as strategies to
add, subtract, factor and expand
linear expressions with rational
coefficients
Understand that rewriting an
expression in different forms in a
problem context can shed light on
the problem and how the
quantities in it are related
Solve word problems leading to
the equations of the form px + q =r
where p, q, and r are specific
rational numbers
7.EE.1
7.EE.2
7.EE.4a
Solve word problems leading to
equations of the form px + q >r or
px+q<r, where p, q, and r are
specific rational numbers
Graph the solution set of the
inequality and interpret it in the
context of the problem
7.EE.1
7.EE.2
7.EE.4b
7.EE.4a
1)
Solve problems involving scale
drawings of geometric figures,
including computing actual lengths
and areas from a scale drawing
and reproducing a scale drawing at
a different scale
7.G.1
7.EE.1
7.EE.2
7.EE.4b
1)
Know the formulas for the area
and circumference of a circle and
use them to solve problems.
Give an informal derivation of the
relationship between the
circumference and area of a circle
Solve real-world and mathematical
problems involving area, volume
and surface area of two- and
three- dimensional objects
composed of triangle,
quadrilaterals, polygons, cubes,
and right prisms.
7.G.4, 7.G.6
7.G.1
Describe 2-D figures that result
from slicing 3-D figures, as in plane
sections of right rectangular
prisms and right rectangular
pyramids.
7.G.3
2)
3)
1)
2)
10 Days
Proportional
Reasoning
with Scale
Drawings
Scale Drawings
& Geometry
Length and
area in 2-D
figures
Using formulas
to solve realworld
problems
10 Days
2)
10 Days
3)
Plane
sections of 3D figures
Describe 2-D
figures that
result from
slicing 3-D
figures
10 Days
2013-2014
1)
Just focus on
perimeter and
area – intro to
circumference
and area of
circles
KMS 7th Grade Math Curriculum Map/Pacing Guide
Volume and
surface area
of 3-D Figures
Find volume
and surface
area with
given formulas
1)
Solve real-world and mathematical
problems involving area, volume
and surface area of two- and
three- dimensional objects
composed of triangle,
quadrilaterals, polygons, cubes,
and right prisms.
7.G.6
1)
Use facts about supplementary,
complementary, vertical, and
adjacent angles in a multi-step
problem to write and solve simple
equations for an unknown angle in
a figure
Draw (freehand, with ruler and
protractor, and with technology)
geometric shapes with given
conditions. Focus on constructing
triangle from three measures of
angles or sides, noticing when the
conditions determine a unique
triangle, more than one triangle,
or no triangle
Understanding the ranges of
probability and likelihood as well
as approximating probability
based on data
Developing and evaluating
probability models
Understanding and applying
various methods to find the
probabilities of compound events
7.G.5
7.G.2
10 Days
Geometric
Constructions
Use facts
about angles
to solve multi
step problems
5 Days
2)
Probability
Statistical
Inferences
Simple Events
5 Days
Compound
Events
1)
2)
3)
7.SP.5
2013-2014
7.SP.8
7.SP.6, 7.SP.7
10 Days
Statistics
Statistical
Inferences
and comparing
Populations
15 days
1)
2)
Understanding random sampling
and using it to draw inferences
about a population
Drawing informal comparative
inferences about two populations
using measures of center and
variability
7.SP.1
7.SP.2, 7.SP.3,
7.SP.4
Download