| OUTCOME/
ESSENTIAL
QUESTION |
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How to identify congruent and similar triangles?
How can a ratio help find missing lengths?
How can I use transformations on the coordinate
plane? |
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Congruent/similar triangles
Ratios
Proportions
Transformations |
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Identify congruent/similar triangles (GB1.K1.A1)
Create patterns with congruent triangles
(GB1.K3.K4.A1) (GB2.K2.A2)
Uses tessellations to prove similar triangles
(GB3.K4.A3)
Identifies and uses corresponding, supplementary and
complementary angles (GB1.K8.K9.A1)
Recognizes notations arc ∩, Circle סּ
(GB1.K10)
Uses ratios/proportions to find missing length of
triangles (AB2.K4.A1) (GB2.K6.A3)
Uses ratios (multiplier) to prove similar triangles
(GB1.K5.A1)
Uses equal angles and parallel sides to prove
similar triangles (GB1.K2.A1)
Uses translation/reflection/ rotation on coordinate
plane (GB3.K1.K2.K3.A1-A4) |
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How can I find prime numbers?
How can I recognize different properties? |
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Factors and prime factors
Algorithms
Square roots
Operations
Properties |
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Explore Pascal's triangle (GB1.K3.A1)
Graph factors (AB4.K1.A1)
Identify prime number under 100 (AB4.K1.A1)
Use factor trees for prime factorization (AB4.K1.A1)
Explore and use multiplication and division
algorithms (NB4.K1.K2.A1) (NB3.K1.A1)
Identify rules for dividing by zero (NB1.K5.A2)
Determine and calculate square roots (NB4.K1.K2.A1)
Operations with natural numbers and integers
(NB1.K1-K4.A1.A2) (NB2.K1.K2.A1.A2)
Determine difference between rational and irrational
(NB1.K1-K4.A1.A2) (NB3.K1-K4.A1-A5)
Recognize distributive/commutative/
associate/additive/zero properties (NB2.K3.A1) |
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How can I use patterns to create formulas?
How can I describe arithmetic sequences? |
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Patterns
Arithmetic sequences
Square numbers
Triangular numbers |
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Create number strips/recursive/direct formulas to describe
sequence (AB1.K1.K2.K5.A1.A2)
Use operations to create formulas to describe
sequences (AB1.K3.K4.K5.A1.A2)
Identify equivalent expressions (NB1.K1.A1)
Use operations to combine sequences (NB4.K2.A1)
(AB2.K2.A1)
Use area model to find square numbers (AB4.K1.A1)
Use number strips to find square of a number
(NB4.K1.K2)
Use triangular/rectangular numbers and tessellations
to create formulas (AB1.K5.A2)
Use substitution to find answer (AB2.K6) |
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How can I use equations to solve problems?
How can I graph equations with slope and
y-intercept? |
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Graphing directions
Graphing lines
Writing equations
Solving/graphing equations |
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Describe graph direction using compass circle (GB1.K7)
Find intersection point of two lines (AB2.K3.A2)
Model a problem with a graph or equation
(AB1.K1.K2.K3.A1)
Use absolute value (NB1.K6.A1)
Graph horizontal/vertical lines (NB1.K1.A1)
(GB4.K2.K3.A1.A2)
Use inequalities to describe regions (AB4.K1.A1)
Understand slope and y-intercept of a line
(GB4.K1.A1) (GB3.K3.A1.A2.A3)
Graph horizontal and vertical equations (AB3.K3.K4.
K5.A1.A2.A3)
Write equations from a graph (AB3.K3.K4.
K5.A1.A2.A3)
Find intersection point from 2 graphed equations
(AB2.K3.A2) (GB1.K8) (GB4.K2.K3.A1.A2)
Solve one/two step equations (NB4.K3.A1)
(AB2.K2.K3.A1-A4) |
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How can I use graphs to interpret data?
How can I recognize misleading graphs or statements? |
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Patterns in data
Selecting samples
Making/interpreting graphs |
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Conduct an experiment/simulation (DB1.K1.A1.A2) (DB2.A1)
Interpret scatter plots and describe data (GB4.K1)
Investigate and perform sampling (DB2.K1.A4)
Interpret graphs (DB2.K1.K2.A1)
Recognize bias (DB2.K1.A4)
Use mean/median/mode/ range (DB2.K3.K4.K5.A1)
Draw conclusions from data (DB2.K2.A1.A3.A4)
Conduct survey (DB2.K1.K2.A1)
Recognize misrepresentation of data (DB2.K6.A3.A4)
Draw histogram/scatterplots (A.B1.K5.A1)
(AB4.K1.A1.A2)
Find best line of fit (DB2.K6)
Describe correlations (DB2.K6)
Find slope from best line of fit (AB3.K2.K3.A2) |
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How can I use vectors to describe locations?
How can I use the Pythagorean theorem to solve
problems?
How can I use glide ratios to solve problems? |
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Equal distances
Vectors
Pythagorean theorem
Glide ratios/angles
Slope/distance
Area |
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Construct line that is equidistant from 2 points and find all
points equidistant (GB1.K8) (GB2.K2.A1)
Convert scales to label vector (GB2.K1.K3.K4.A1)
Use angle measurement for direction (GB2.K2.A1)
Use Pythagorean theorem to prove a right triangle
(GB4.A1) (GB1.K2.K6.A1) (GB2.K6.A3)
Compare glide ratios (NB1.K1.A2)
Find glide angle (AB3.K5) (AB4.K1.A1)
Use tangent to find slope (AB3.K5) (AB4.K1.A1)
Draw contour lines and profiles (DB2.K1.A1)
Use slope to solve problems (AB3.K5) (NB1.K1.A4)
(GB4.K2.A1.A2)
Find height of triangle (NB4.A1)
Find area of triangle and other regular polygons
(NB3.K1.A4) (GB2.K4.K5.A1.A2) |
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How can I use counting strategies to find probability?
How can I recognize independent/dependent events? |
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Counting strategies
Finding probability
Investigating types of probability
ODDS |
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Use percents/ratio/fractions to find probability (NB4.K2.A1)
(AB2.K5.A1.A3)
Find all possibilities with/without repetition
(AB4.K1.A1.A2.A3)
Recognize bias (DB2.K2.A2)
Use simulations to investigate probability
(AB4.K1.A1.A2.A3.A4) (DB3.A1.A2)
Know how sample/populations effects outcomes
(DB1.K3.A3) (GB2.K7)
Find probability of dependent/independent events
(AB2.K1.A1.A3) (DB1.K1-K4.A1-A4)
Recognize chance (AB2.K1.A1.A3)
Recognize odds (DB1.K5.K6) |
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