Moving Straight Ahead
Daily Lessons - We can change DELIVERY: pace, location,
style, presenter, ACCESS to teacher:
proximity, desk, meetings;
WORK: time, tools, amount, complexity,
grouping…
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A pretest of score of 0 – 10 can help decide what enrichment and/or remediation the student may need. |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Precursor Skill: Function as
Machine |
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Investigation 1 - Predicting from Patterns 2 days ) pg 5 – 14 q Encounter ideas that many
phenomena are constrained by linear relationships q Collect data and use
patterns in tables and graphs to make predications q
Connect points on a graph of data that were collected or predicated |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Interactive Website: Input
& Output Function Machine |
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Investigation 2 – Walking Rates (6 days) pg 15 – 34) q Recognize linear
relationships from tables: (for each unit of change in one variable, there is
a constant rate of change in the other variable).. q Determine whether a set of
data is linear by examining its graph. q t situations involving
linear relationships q Recognize how the rate of
change between two variables is associated with its representations. q
Recognize that a change in rate will change the steepness of a line
and the coefficient of x (indep. Variable) q
Interpret the meaning of the coefficient of x and the y-intercept of
a graph of y = mx + b |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Worksheet: Functions as Graphs |
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Investigation 3 - Exploring Lines with a Graphing Calculator (5 days) pg 35 – 52) q Connect solutions in graphs and tables to
solutions of equations. q Find a solution common to
two linear equations by graphing. q Understand how the
y-intercept appears in tables and equations. Understand
how the rate of change (the coefficient
of x …m) appears in equations and affects the graph of a line. |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Lesson: Function as Equation |
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Investigation 4 – Solving Equations ( 5 days) pg 53 – 63 . q
Solve an equation of the
form y = mx + b symbolically. q
Connect various methods of finding information in graphs and in
tables and by solving equations. |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Web Lesson: Solving one step linear
equations |
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Investigation 5 – Exploring Slope (3 days) pg 64 -79 q Develop a more formal
understanding of the concept of slope. q Find the constant rate, or slope, from a table. q
Find the slope of a line given two points on the line. q
Relate the slope and the y-intercept to the equation of a line. |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Website: Determine
the Slope from a Graph |
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Investigation 6 – Writing an Equation for a Line q Find the equation of a line
given two points. q GLE 1.5.2 gr 9/10 Analyze a pattern, table, graph, or model involving
repeated addition (linear) or repeated multiplication (exponential) model to
write an equation or rule q
Review
important ideas about linear relationships. q
Use
knowledge about linear relationships to solve problems. q
GLE 1.5.6 gr
9/10 Apply procedures to solve equations and systems of equations |
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0 (foundation) |
0 (adaptation) |
1 (remediation) |
2-3-4 |
5-6 enrich |
7-8 enhance |
9-10 extend |
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Website: Working
with equations |
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