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…

A pretest of score of 0 – 10 can help decide what enrichment and/or remediation the student may need.

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

 

 

Website: Moving Straight Ahead - Interactive Options

 

Precursor Skill: Function as Machine

 

Investigation 1 - Predicting from Patterns 2 days )  pg 5 – 14

q       Encounter ideas that many phenomena are constrained by linear relationships
GLE 1.5.2 Gr 7: Apply understanding of linear patterns in a table, graph, or situation to  develop a rule.

q       Collect data and use patterns in tables and graphs to make predications
GLE 4.1.1 Gr 8: Apply a planning process to collect information for a given purpose.
GLE 1.5.2 Gr 8: Analyze a pattern, table, graph, or situation to develop a rule.

q       Connect points on a graph of data that were collected or predicated

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Interactive Website: Input & Output Function Machine

Investigation 1 – additional focus homework

 

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)..
GLE 1.5.1 Gr 9: Understand characteristics of processes that can be defined as repeated addition (linear) or…….

q       Determine whether a set of data is linear by examining its graph.
GLE 1.5.4 Gr 7: Apply  understanding of equations, tables, and graphs to represent

q       t situations involving linear relationships

q       Recognize how the rate of change between two variables is associated with its representations.
GLE 1.2.2 Gr 8: Understand derived units of measurement…. Find a rate of change in a real world situation.

q       Recognize that a change in rate will change the steepness of a line and the coefficient of x (indep. Variable)
GLE 1.3.3 Gr 9: Apply understanding of geometric properties and location of points to answer questions…… identify, interpret, and use the meaning of slope of a  as a rate of change using physical, symbolic, and technical models.

q       Interpret the meaning of the coefficient of x and the y-intercept of a graph of    y = mx + b 

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Worksheet: Functions as Graphs

Investigation 2 – additional focus homework

Inv2.3 Complete These

Inv 1 & 2 Test Type Questions

 

Investigation 3 -  Exploring Lines with a Graphing Calculator  (5 days) pg 35 – 52)

q       Connect  solutions in graphs and tables to solutions of  equations.
GLE 1.5.1 Gr 8: Apply understanding of linear and non-linear relationships to patterns, sequences, and situations… recognize, extend or represent

q       Find a solution common to two linear equations by graphing.
GLE 2.3.2 Gr 9:
Apply strategies, concepts and procedures to solve a problem…. Systems of equations

q       Understand how the y-intercept appears in tables and equations.
GLE 1.5.1 Gr 8: Apply understanding of linear and non-linear relationships to patterns, sequences, and situations… recognize, extend or represent

Understand how the rate of change (the coefficient  of x …m) appears in equations and affects the graph of a line. 
GLE 1.3.3 Gr 9
: Apply understanding of geometric properties  and location of points to answer questions.

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Lesson: Function as Equation

 

Investigation 4  – Solving Equations ( 5 days) pg 53 – 63  .

q       Solve an  equation of the form   y = mx + b symbolically.   
GLE 1.5.6 Gr 9:
Apply procedures to solve equations and systems of equations

q       Connect various methods of finding information in graphs and in tables and by solving equations.  
GLE 1.5.1 GR Apply understanding of linear and non-linear relationships to patterns, sequences, and situations……….tables, graphs………

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Web Lesson: Solving one step linear equations

Website: Solve one step linear equations

 

Investigation 5 – Exploring Slope (3 days) pg 64 -79

q       Develop a more formal understanding of the concept of slope.
GLE 1.3.3 gr 9 Apply understanding of geometric properties and location of points to answer questions…. Slopes, rate of change….

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.
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

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Website: Determine the Slope from a Graph

 

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

 

 

0 (foundation)     

0 (adaptation)     

1 (remediation)

2-3-4

5-6 enrich

7-8 enhance

9-10 extend

Website: Working with equations

 

 

 

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