Secondary Math I Scope and Sequence

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Secondary Math I Scope and Sequence
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2
3
4
5
Pre-Benchmark
Test
0-Week
Pre-Benchmark
Test
0-Week
Pre-Task #1
Taxi Fares and
Bicycle Rentals
0-Week
Pre-Task #2
The Garden
Problem
Pre-Task #3
What Equation
and Paying The
Rent
0-Week
0-Week
5
7
1.0B
Solving Eq. With
Variables on Both
Sides
8
1.0C Multi-Step
Equations
10
1.1A
Create an
Equation
6
Unit 1
1.0 A
Solving 2-Step
Equations
11
12
13
14
15
1.1 B and C
Solving
Equations:
Is it correct?
1.1D
Solving for
indicated
variable
1.1E
Using Formulas
1.2A
Algebraic
Properties
1.2B
Solve
Equations and
Justify
16
1.2C
Solve
Equations
and Justify
17
18
19
Unit 1A Quiz
Review
Unit 1A Quiz
1.3A
Solving
Inequalities
20
1.3B
Set and
Interval Notation
21
1.3C Solve
Compound
Inequalities
22
1.3D
More
Compound
Inequalities
23
1.3E
More
Compound
Inequalities
24
1.4A1
Solving
Absolute Value
Equations
25
1.4A2
Solving Absolute
Value Inequalities
(2 Days)
26
Unit 1 Test
Review
27
Unit 1 Test
28
29
30
2.0A
Graphing
Review
2.0B
Graphing on
Calculator
2.1A What is
a solution?
System Intro/Task
31
2.1C
Solving
Systems With
Graphing
36
2.2C1
Choose
method for
solving systems
32
2.2A1 Solving
Systems with
Substitution
33
2.2A2
Solving Systems
with Substitution
35
2.2B2
Systems with
Elimination
37
2.2C2
Find the
Error
38
34
2.2B1
Solving
Systems with
Elimination
39
Unit 2A
Review
Unit 2A
Quiz
2.3A
Total Value
Story Problems
41
2.3B
Motion Story
Problems
42
43
44
45
2.3C Perimeter
Story Problems
Unit 2B Reveiw
Unit 2B Quiz
Wiggle room
1.0D
Exponential
Equations
40
Second Quarter
1
2
2.4A
2.4D1 System
Graphing Linear Inequalities
of Inequalities
by hand
3
2.4D2
Systems of
Inequalities
on Calculator
4
5
2.5A
2.5B
Intro to Linear Programming
Linear Program.
6
2.5C
Linear Program.
8
Unit 2C Quiz
9
Benchmark Test
7
Unit 2C Review
10
Benchmark Test
11
12
13
14
15
3.0 (Task)
3.1A Relations and Functions
Average Rate of Change
3.1C Independent VS Dependent
3.1D
3.2A
Variables
Linear Function StoriesX and Y-intercepts
16
17
18
19
20
3.2B
3.2C
3.2E
Review Quiz 3A
Tables, Graphs, Stories,
Tables
and Equations
to Linear Equations
The Concept of Functions
Quiz 3A
21
22
23
24
3.3A1
3.3A2
3.3B
3.3D
Intro to Exponentials Graphing Exponentials Exponential
by hand
Functions Interpret Graphs
One Grain of Rice
25
3.3F
Exponential Stories
26
27
3.4B
End Behavior
3.4D
Review Quiz 3B
Rate of Change over given interval
Quiz 3B
30
4.0
Growing Dots (Task)
31
4.1E
Linear,
Exponential,
or Neither?
32
33
4.2A
4.2A
Arithmetic Sequences Explicit and
RecursiveArithmetic
34
4.3A
Geometric
Sequences
35
4.3B
Explicit and
Recursive –
Geometric
36
4A Quiz
Review
37
4A Quiz
38
4.3C
Linear and
Exponential
Sequences
39
4.4A
Equations
from Graphs
40
4.4C
Story
Problems
41
4.5B
Systems of
Linear and
Exponential
on Graphing
Calculators
42
43
44
45
Unit 4 Test
Review
Unit 4 Test
5.0A
Add and Sub.
Polynomials
5.0B
Mult. and Div.
Polynomials
28
29
Third Quarter
1
5.0C
Mult. Polynomials
2
4
5.1C
Operations
on Functions
Mult. and Div.
5
5.0D
Divide
Polynomials
3
5.1A
Operations on
Functions
Add and Sub
6
7
8
9
10
5.2A
Composition
of Functions
5.2B
Composition
of Functions
5.3
Composition
of functions
using a Graph
Unit 5A Test Review
Unit 5A Test
11
Benchmarks Tests
Units 3, 4 & 5
12
Benchmarks Tests
Units 3, 4 & 5
13
6.0
Geometric
Vocabulary
14
15
6.1D
Translations
6.1E
Reflections
16
6.1F
Rotations
17
6.1B
Review of
Transformations
18
19
20
6.1H
6.1G
Composition of Transformations
Review
21
22
6.1H
6.1G
Composition of Transformations
Review
23
6.1C
Transform
Points
26
28
27
6.3A
Unit 6A Review
Parallel and Perpendicular Lines
Unit 6A
Quiz
31
6.5A
Vertical
Transformations
32
6.5B
Horizontal
Transformations
33
6.6A
Transform
Exponential
Functions
36
Unit 6B
Quiz
37
7.4B
Copying a
Segment
42
7.5C
Construct
Perpendicular
Bisector
38
7.4C
Copying an
angle
43
7.5D
Construct
Polygons
Inscribed in
Circles
41
7.5B
Construct
Parallel Lines
5.1D
All Operations
on Functions
24
6.1C
Transform
Points
25
6.2C
Triangle
Congruence
29
6.2A
Transformations with triangle
congruence
30
6.4A
6.4A
Piecewise Transformations
Day 2
Piecewise
Transformations
34
35
6.6B
Day 2
Unit 6B Reviw
Transform
Exponential
Functions
39
40
7.4E
7.5A
Bisecting
Construct
an Angle
Perp. Lines
44
45
Unit 7 Test
Review
Unit 7 Test
4TH QUARTER
1
2
3
4
5
8.1 Review
Parallel and
Perpendicular
Slopes
8.2A
Pythagorean
Theorem
8.2B
Distance
Form. and
Pyth. Thm
8.2C
Perimeter of
Polygons with
Distance
8
9
8.3A
Proving
Squares and
Rectangles
using distance
and slope
10
Unit 8 Review
Unit 8 Test
6
7
8.3C
8.3B
Area of
More Proving Squares and
Triangles,
Rectangles
Rectangles
and Squares
11
12
Benchmark Test
Unit 6, 7, and 8
14
9.3A
Standard
Deviation By
Hand
15
9.3B
Standard
Deviation On
Calculator
16
9.3C
Standard
Deviation
Review
13
9.2
9.1A
Box/Whisker
Mean, Median, Mode Histogram
Popcorn
Acitivity
17
18
9.4A
9.5A
Interpreting
Dot Plots/
Statistics
Histograms
M & M Activity
19
9.5B
Histograms/Box and
Whisker
Use Your
Head Activity
20
21
22
Unit 9 Review
Unit 9 Test
25
10.2A
Lines of
Best Fit
26
10.2B
Lines of
Best Fit on
Calculator
27
10.2C
Interpreting
Intercepts,
Slope, and
Lines of Best Fit
32
24
10.1C
Relative, Joint,
and Marginal
Frequencies
29
10.4A
Correlation
Coefficient
Benchmark Test
Unit 6, 7, and 8
31
10.4C
Correlation
Vs Causation
Statistics Project
23
10.1A
2-Way
Frequency
Tables
28
10.3
Which Line
Is the Best
Fit?
9.5C
NBA Heights
Activity
30
10.4B
Residuals
33
34
Students
Benchmark Project
will need time
for Benchmark Project
35
Benchmark Project
36 Wiggle room for
End of year Testing,
Assemblies,
Time out of school,
etc…
37
38
39
40
41Wiggle room for
Testing, Assemblies,
Time out of
school, etc…
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43
44
45
Secondary Math 1 Unit overview, with approximate time requirements
Unit 1, Approx. 5 Weeks, Into 6th week of 1st Quarter
Solve equations and inequalities.
Justify steps in solving equations.
Solve absolute-value equations and inequalities.
Solve compound inequalities.
Use set and interval notation to describe solutions to compound
Unit 2, End of Quarter 1, 2 weeks of Quarter 2
Find and explain solutions to systems of equations graphically.
Find and explain solutions to systems of equations algebraically.
Write and solve systems of equations and justify the solving method used.
Graph/solve/explain an inequality in two variables.
Write/graph/solve/explain systems of inequalities.
Write constraint equations, apply linear programming and explain solution.
Unit 3, 2nd Quarter week 3-6
Understand functions.
Use function notation and vocabulary effectively.
Interpret/analyze linear functions using tables, graphs, equations and contexts.
Interpret/analyze exponential functions using tables, graphs, equations and contexts.
Interpret/analyze/compare linear and exponential functions using various models.
Unit 4, 2nd Quarter weeks 7-9
Compare arithmetic and geometric sequences and linear and exponential growth.
Understand arithmetic sequences as linear functions.
Write explicit and recursive formulas for arithmetic sequences.
Understand geometric sequences as exponential functions.
Write explicit and recursive formulas for geometric sequences.
Write arithmetic and geometric sequence formulas from tables, graphs and contexts.
Model and solve real-life “sequence” problems using tables, graphs, and equations (formulas).
Construct and compare linear and exponential functions and systems of exponential and linear
functions.
Unit 5, 3rd Quarter week 1-3
Build new functions by operating on functions (adding, subtracting, multiplying, dividing).
Build new functions by composing functions.
Unit 6, 3rd Quarter Weeks 4-7 (This may not be enough)
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment
Represent transformations in the plane using a variety of methods
Describe transformations as functions that take points in the plane as inputs and give other
points as outputs
Compare transformations that preserve distance and angle to those that do not
Given a shape describe the rotations and reflections that carry it onto itself
Develop definitions of rotations, reflections, and translations in terms of angles, circles,
perpendicular lines, parallel lines, and line segments
Rotate, reflect, and translate figures using a variety of methods
Specify a sequence of transformations that will carry a given figure onto another
Use the definition of congruence in terms of rigid motions to decide if they are congruent
Triangle congruence: corresponding pairs of sides and corresponding pairs of angles are
congruent
Explain how the criteria for triangle congruence (ASA, SAS, AAS, and SSS) follow from the
definitions of congruence in terms of rigid motions
Make formal geometric constructions with a variety of tools and methods: copying a segment;
copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines
(perpendicular bisector); and constructing a line parallel to a given line through a point not on
the line.
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle
Unit 7, 3rd Quarter weeks 8-9
Copy and bisect angles and segments using construction techniques
Construct a perpendicular bisector and parallel/perpendicular lines through a point.
Explain why the constructions work.
Unit 8, 4th Quarter Weeks 1-2
Connect slope with parallel and perpendicular lines
Connect and use the distance formula and Pythagorean theorem.
Use coordinates to prove geometric theorems and make calculations.
Unit 9 Uni-Variate Statistics 4th Quarter Weeks 3-4
Calculate mean, median, and mode. I can create and interpret box, histogram, and dot plots.
Determine and interpret standard deviation.
Interpret the shape of data plots.
Unit 10 Bi-Variate Statistics, 4th Quarter Weeks 5-7
Interpret and compare two data sets.
Create and analyze two-way frequency tables
Determine and interpret linear lines of fit.
Differentiate and analyze linear and exponential fit.
Calculate and analyze correlation and residuals and interpret causation.
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