Download Scope and Sequence

Grade 9 Transitional Mathematics
Suggested Scope and Sequence: Oct – June
Date
Lesson Plan
TerraNova 19
Week of October 20
PSSA Writing Test administered this week.
Baseline Test #1 administered at least one day after PSSA Writing test.
Use the remaining days of this week to review and reinforce skills covered in the Key Concepts
for Math Success book. Spend additional time on skills that you have identified as weak areas
for your students. Select additional activities from the suggestions in the Encore sections.
Week of October 27
Monday
Unit Analysis SkillBuilder:
Tuesday
As you work through this lesson, give students time to process the
information and make connections.
Wednesday
Unit Analysis SkillTivity:
Thursday
Reinforce the importance of writing the units while solving these
problems.
Friday
Objective 13 – Mastery
Measurement
Student will use unit analysis in their science classes; take time to
reinforce these skills. Use the SkillVenture lesson if time allows.
Week of November 3
Monday
Exponents and Square Roots SkillBuilder:
Tuesday
Exponents and Square Roots SkillTivity:
Wednesday
Students need to have a firm grasp of the concepts of exponents and
radicals as they advance in their studies of Algebra. Allow time to
practice these skills with students. Encourage students to write out the
factored form of expressions until they have internalized the rules.
Thursday
Number Properties SkillBuilder:
Friday
Playing the Equivalent Triples Game will provide students with
practice in recognizing equivalent fractions. If time allows, conduct a
tournament and name a Triples Champion.
Page 1 of 9
Objective 10 – Mastery
Number and Number
Relations
Objective 10 – Mastery
Number and Number
Relations
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of November 10
Monday
Order of Operations SkillBuilder
Tuesday
Veterans' Day - No school
Wednesday
Ratio, Proportion, and Percent SkillBuilder
Thursday
Ratio, Proportion, and Percent SkillTivity:
Friday
Spend some extra time on the Guided Practice Activity. Allow students
to run extra trials collecting experimental data to compare to their
projected data.
Objective 11 – Mastery
Computation and
Numerical Estimation
Objective 10 – Mastery
Number and Number
Relations
Week of November 17
Monday
Sequences and Graphs SkillBuilder:
Tuesday
Encourage students to draw pictures to represent the problems in this
lesson. The class could also act out the city–highway problems using
one student to represent each city and a piece of string or yarn to
represent each highway.
Wednesday
Sequences and Graphs SkillTivity:
Thursday
Friday
Objective 10 – Mastery
Number and Number
Relations
Allow extra time for the students to explore all the alternative routes
involved in the Guided Practice Activity. Help students to recognize
that there are two routes in each example that can be considered the
"shortest" route because they are the same routes being traveled in
opposite directions.
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Week of November 24
Monday
Tuesday
Spend additional time on skills that you have identified as weak areas for your students. You may
select additional activities from the suggestions in the Encore sections or have a rematch of the
Equivalent Triples Game.
Wednesday
Thursday
Friday
Page 2 of 9
Thanksgiving Recess - No school
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of December 1
Monday
Exponential Expressions SkillBuilder:
Tuesday
Additional time may be required for reviewing the concept of volume
while completing the Opening Activity. Give students time to explore
all possible combinations of boxes.
Wednesday
Exponential Expressions SkillTivity:
Thursday
If students are unfamiliar with the concept of a mathematical
conjecture, take time to explain the meaning. Give students ample time
to explore each conjecture and decide whether it is valid. Encourage
mathematical reasoning skills.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Objective 11 – Mastery
Computation and
Numerical Estimation
Week of December 8
Monday
Order of Operations SkillTivity
Tuesday
Baseline Test # 2
Wednesday
Data Displays SkillBuilder
Thursday
Data Displays SkillTivity:
Friday
This lesson requires students to collect data and create data displays to
represent this data. Use one class period to present information and
gather data. Use the next class period for students to organize, display,
and present their data to the class.
Objective 11 – Mastery
Computation and
Numerical Estimation
Objective 15 – Mastery
Data Analysis,
Statistics, and
Probability
Week of December 15
Monday
Probability Experiments SkillBuilder:
Tuesday
Take time working through each experiment. Encourage students to
make predictions and evaluate their predictions after they have
completed the experiments.
Wednesday
Probability Experiments SkillTivity:
Thursday
The experimental probability of an event will approach the theoretical
probability of that event only after a large number of trials. Allow
students to run a sufficient number of trials that they discover this fact
for themselves.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Page 3 of 9
Objective 15 – Mastery
Data Analysis,
Statistics, and
Probability
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of December 22
Monday
Choose Encore activities from a favorite lesson. Give students time to practice their skills or review
content that has been difficult for them to master.
Tuesday
December 24 - January 2 Winter Recess - No school
Week of January 5
Monday
Tuesday
Sample Space & Probability SkillBuilder:
Students' first attempts to list a sample space may not generate
organized or useful lists. Give students time to practice listing a sample
space in a variety of ways. Then discuss and select the most
appropriate representation as a class. Not all students will agree on the
same representation. Be prepared to ask each student to defend his or
her representation and to acknowledge that individual learning styles
may impact the selection.
Wednesday
Sample Space & Probability SkillTivity:
Thursday
Many probability problems use the sample space created by rolling a
pair of dice. Create a sample space board, as described in this lesson, to
help students find the set of all possible outcomes. Use this board to
extend the discussion of the probability of a variety of different events.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Objective 15 – Mastery
Data Analysis,
Statistics, and
Probability
Week of January 12
Monday
Combinations & Permutations SkillBuilder:
Tuesday
Students often have difficulty deciding whether a problem requires
finding a combination or a permutation. Help students to understand
these concepts; it is not sufficient to memorize the formulas.
Wednesday
Combinations & Permutations SkillTivity:
Thursday
Formulas forgotten on test day will serve no purpose. Concepts
learned, understood, and practiced will be remembered long after the
test day. Many students need extra time to make lists of all the possible
outcomes to facilitate their understanding of the formulas.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Page 4 of 9
Objective 11 – Mastery
Computation and
Numerical Estimation
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of January 19
Monday
Martin Luther King, Jr. Day - No school
Tuesday
Calculations of Motion SkillBuilder
Wednesday
Calculations of Motion SkillTivity:
Thursday
The first day of this lesson will be spent preparing and running the
experiment. The second day will be spent making calculations and
analyzing the data. Give students time to understand and complete the
process.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Objective 13 – Mastery
Measurement
Week of January 26
Monday
Surface Area & Volume SkillBuilder:
Tuesday
Students may have difficulty visualizing three-dimensional objects
depicted in two-dimensional drawings. Provide many threedimensional samples for students to examine and sketch.
Wednesday
Surface Area & Volume SkillTivity:
Thursday
As students work to find the indicated measurements, allow enough
time for each student to practice measuring and calculating skills.
Require all students to take an active role; don't allow passive
observers.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Objective 13 – Mastery
Measurement
Week of February 2
Monday
Review and answer student questions as you prepare for the Baseline Test.
Tuesday
Baseline Test # 3
Wednesday
Indirect Measurements SkillBuilder:
Thursday
Review the concepts of ratio, proportion, and scale factor as you
proceed through this lesson.
Friday
Indirect Measurements SkillBuilder:
Complete Encore activity #6 with the class.
Page 5 of 9
Objective 13 – Mastery
Measurement
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of February 9
Monday
Professional Development - No school
Tuesday
Wednesday
Polygons & Angle Relationships SkillBuilder:
Thursday
Assess students' ability to name polygons based on number of sides.
Review and practice as necessary.
Friday
Polygons & Angle Relationships SkillBuilder:
Objective 14 – Mastery
Geometry and Spatial
Sense
Complete Encore activity #3 or #4 with the class.
Week of February 16
Monday
President's Day - No school
Tuesday
Mathematical Words & Symbols SkillBuilder:
Wednesday
Understanding the language of mathematics will help students translate
words, phrases, and sentences into mathematical expressions,
equations, and inequalities. As you review these concepts, ask students
to provide examples of how they use different languages, expressions,
and abbreviations to express themselves in different media (i.e.,
English class essay, email, instant message, text message).
Thursday
Mathematical Words & Symbols SkillTivity:
Friday
Have students review their work with a partner or in a group. Ask
groups of students to explain their answers to the class. Students gain a
deeper understanding of concepts when they explain those concepts to
others.
Objective 16 – Mastery
Patterns, Functions,
Algebra
Week of February 23
Monday
Properties of Graphs SkillBuilder
Tuesday
At the start of this lesson assess student's ability to locate points on the
coordinate grid. Review as necessary. Students may also need
additional practice finding differences that include negative numbers.
Wednesday
Properties of Graphs SkillTivity:
Thursday
For each equation in this lesson, have students sketch the graph, find
the slope, and write the equation in slope-intercept form. Encourage
students to discover that lines with a positive slope "climb to the right"
while lines with a negative slope "climb to the left."
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Page 6 of 9
Objective 16 – Mastery
Patterns, Functions,
Algebra
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Month of March
TerraNova Advantage course: pacing calendar to be delivered separately
Week of April 5
Spring Recess - No school
Weeks of April 12 and 19
TerraNova Exam administered
Use the days before the test to review Advantage materials and the days after the test to discuss
how students did and where they still need help. The following Achievement Planner lessons
may also be use as problem solving review before the TerraNova Exam:
4-Step Method for Problem Solving
Problem-Solving Strategies
Objective 17 – Mastery
Problem Solving and
Reasoning
Problem-Solving Algorithms
Mathematical Language & Notation
Week of April 26
Monday
Linear Equations SkillBuilder:
Tuesday
This lesson uses algebra tiles to explore properties of equality.
Students will need time to explore these properties. Encourage students
to use appropriate mathematical language to communicate their steps.
Wednesday
Linear Equations SkillTivity:
Thursday
Encourage students to check their answers as they solve the equations
in this lesson. Review the rules for order of operations and working
with fractions if necessary.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Page 7 of 9
Objective 16 – Mastery
Patterns, Functions,
Algebra
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of May 3
Monday
Tuesday
Systems of Linear Equations SkillBuilder:
Students may try to solve the problems in this lesson without setting up
a system of equations. Acknowledge that there are alternative solution
methods and encourage students to share their methods. Remind
students that it is important to know a variety of problem solving
methods –– just like it is important to know more than one route
between school and home, in case the normal route is blocked by an
accident or repair work.
Wednesday
Systems of Linear Equations SkillTivity:
Thursday
Ask students to graph the systems of linear equations in this lesson.
Assess their understanding of the concept that the point of intersection
of the two graphs is the solution to the system. Have students check
their solutions in both equations, showing all their work.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Objective 16 – Mastery
Patterns, Functions,
Algebra
Week of May 10
Monday
Review and answer student questions as you prepare for the baseline test.
Tuesday
Baseline Test # 4
Wednesday
Polygons & Angle Relationships SkillTivity:
Thursday
The Guided Practice Activity in this lesson requires students to find
and cutout pictures from car magazines. Almost any magazines can be
used for this activity; the magazines should match the interests of your
students. Encourage students to provide the magazines for this activity.
Friday
Polygons & Angle Relationships SkillTivity:
Objective 14 – Mastery
Geometry and Spatial
Sense
Complete Encore activity #3 or #4 with the class.
Week of May 17
Monday
Geometry and Algebra SkillBuilder:
Tuesday
The goal of this lesson is to help students see the connections between
Geometry and Algebra. Some of the terms may be unfamiliar and
require extra review.
Wednesday
Geometry and Algebra SkillTivity:
Thursday
As students find the perimeter, area, and volume of objects in this
lesson, they will be reminded of their work with adding and
multiplying algebraic expressions. Review as necessary.
Friday
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Page 8 of 9
Objective 14 – Mastery
Geometry and Spatial
Sense
Grade 9 Transitional Mathematics
Date
Lesson Plan
TerraNova 19
Week of May 24
Monday
Transformations and Symmetry SkillBuilder:
Tuesday
In this lesson, students will learn to use the distance and midpoint
formulas while working with points on the coordinate plane. The
Pythagorean theorem will need to be reviewed.
Wednesday
Transformations and Symmetry SkillTivity:
Thursday
Encourage students to develop connections between geometry and
algebra as they work through transformations on the coordinate grid.
Friday
Objective 14 – Mastery
Geometry and Spatial
Sense
Take time to review and reinforce these skills; use the SkillVenture
lesson if time allows.
Week of May 31
Monday
Memorial Day - No school
Tuesday
The Language of Mathematics SkillBuilder:
Wednesday
As students solve the problems in this lesson, spend extra time
identifying the variable in each problem. Allow students to experiment
with selecting different variables. Point out that the value of the
variable may not always represent the final answer.
Thursday
The Language of Mathematics SkillTivity:
Friday
Most Algebra I problems are written using "nice" numbers that lead to
whole number answers. By encouraging students to select the numbers
for the problems in this lesson they begin to see that the algebra skills
they have learned can be applied to real-life situations. If time allows,
have students create original problems to solve.
Week of June 7
Select Encore activities from your favorite lessons.
Page 9 of 9
Objective 17 – Mastery
Problem Solving and
Reasoning