UNIT MAP
AY 2021 - 2022
Subject
:
Unit
Title:
Prepare
d by:
Math
Grade:
6
Number System and
Operations, Ratio and Rate
Reasoning
Ms. Sana Amir
Term:
1
Stage 1: Desired Results
Transfer
AIAS learners will be able to
independently use their learning to:
explore the development of the concept
of negative numbers. They use rods of
different colours and a number line to
represent positive and negative
quantities. They solve problems related
to fraction division and operations with
decimals.
By applying the following skills:
Use positive and negative numbers to
represent quantities in real-world
contexts. Recognize opposite signs of
numbers as indicating locations on
opposite sides of 0 on the number line.
Interpret and compute quotients of
fractions and solve word problems
involving division of fractions by
fractions, e.g., by using visual fraction
models and equations to represent the
Making-Meaning
Enduring Understanding
Essential Questions
Students will understand that
Students will keep considering
 There are many ways to represent a number.
 How does estimation
make computation more
 The problem in front of you is a member of
accurate?
a larger class of problems.
 What are some situations
 Number sense develops through experience.
in everyday life where
 Operations create relationships between
we use estimation?
numbers.
 What do the
 The relationships among the operations and
commutative and
their properties promote computational
associative properties tell
fluency.
you about addition and
 In certain situations, an estimate is as useful
multiplication?
as an exact answer.
 What are some situations
in everyday life where
you use negative as well
as positive numbers?
problem. Fluently add, subtract,
multiply, and divide multi-digit decimals
using the standard algorithm for each
operation.
Week
(Dates)
1
Essential For All
Students will know . . .
Identification and
interpretation of integers.
Differentiated Acquisitions
Enhancement For Some
C/P/O
Content:
1. Students will describe situations in which
opposite quantities combine to make 0.
2. High order thinking questions and realworld questions will be provided.
How can you represent real-life situations
with positive and negative integers?
3. Extra Classwork/Math Journal will be given
related to each topic.
e.g., Critique Reasoning Page 11 Q 2
4. Challenging tasks will be given related to
the interpreting the integers.
e.g., Page 10 Q 4
Reinforcement For Some
C/P/O
Content:
1. Recall prior knowledge
about the integers.
2. Suitable tasks will be given
to increase the participation
in the classwork/Math
Journal.
e.g., What integer would
you use to show a
temperature of 5º below
zero?
3. Solve one Learning Path in
the Exact Path account
about the number line
Process:
Process:
1. Solve extra skills in the Learning Path in the
1. Different ways to
Exact Path account for describe situations in
implement differentiation
which opposite quantities.
activities related their
2. Provide students with different activities
needs.
using different tools such as Nearpod,
e.g., Draw a number line
Worksheet .
showing temperature.
2. Solve extra skills in the
Product:
Learning Path in the
Design an anchor chart for Integer Concept.
Exact Path account for
1. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
Students will draw a number
line for the given integers.
2
Comparing and Ordering
integers on a number line.
Content:
1. Students will solve real-world and
mathematical problems involving the four
operations with rational numbers.
2. High order thinking questions and realworld questions will be provided.
e.g., Page 19 Q 2
3. Extra Classwork/Math Journal will be given
related to each topic.
e.g., Page 17 Q 7
4. Challenging tasks will be given related to
the interpreting the integers.
Content:
1. Recall prior knowledge
of comparing numbers.
2. Solve one Learning Path
in the Exact Path account
about the number line
Process:
1. Different ways to
implement differentiation
activities related their
needs.
e.g.,
2. Provide students with
different activities using
Process:
different tools such as
1. Solve extra skills in the Learning Path in the
Quizizz, Nearpod
Exact Path account for operations with
Product:
rational numbers.
Students will draw a
2. Provide students with different activities
thermometer and label it
using different tools such as Worksheet.
with integers.
3
Application of absolute value
in real-world situations.
Product:
Find the temperature of different countries,
compare them, and create a number line
showing the difference between their
temperatures.
Content:
Content:
1. Students will apply and extend previous
1. Suitable tasks will be
understandings of operations with fractions
given to increase the
to add, subtract, multiply, and divide
participation in the
rational numbers
classwork/Math Journal.
2. High order thinking questions and reale.g. Write an inequality
world questions will be provided.
to compare the decimals:
e.g., Will a negative number always have a
0.149 and 0.128.
positive absolute value? Explain
2. Solve one Learning Path
3. Extra Classwork/Math Journal will be given
in the Exact Path account
related to each topic.
about the number line
e.g., Page 24 Q 3
3. Solve one Learning Path
4. Challenging tasks will be given related to
in the Exact Path account
the interpreting the integers.
about the absolute
e.g., Page 24 Q 4
values.
Process:
1. Solve extra skills in the Learning Path in the Process:
Exact Path account for operations with
1. Different ways to
rational numbers.
implement differentiation
2. Provide students with different activities
activities related their
using different tools such as
needs.
Product:
Search the supercooling point (lowest
Find each absolute value.
temperature) of any five insects at which
they can survive. Draw the table and graph
the temperature on a number line
Product:
A money removed from
a bank account is listed
4
Interpretation of rational
numbers on vertical and
horizontal number line
Content:
1. Students will add and subtract rational
numbers also students will multiply and
divide rational numbers.
2. High order thinking questions and real-world
questions will be provided., Page 34 Q 10
3. Challenging tasks will be given related to the
interpreting the integers e.g., Page 35 Q 4
Process:
1. Solve extra skills in the Learning Path in the
Exact Path account for multiply and divide
rational numbers.
2. Provide students with different activities
using different tools such as Worksheet,
Nearpod
Product:
Design a chart of “Number system” and
present to the class.
on a bank statement as
negative number, which
represent a greater
withdrawal -$45 or -$50?
Content:
1. Students understood that
positive and negative
numbers are used
together to describe
quantities having
opposite directions or
values.
2. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
Write an inequality
compare the numbers 11
and -9.
3. Solve one Learning Path
in the Exact Path account
about the number line
Process:
1. Different ways to
implement differentiation
activities related their
needs.
5
Exploration of division of
fractions with the same
denominators with and without
models.
Content:
1. High order thinking questions and realworld questions will be provided.
2. Extra Classwork/Math Journal will be given
related to each topic.
3. Challenging tasks will be given related to
the interpreting the integers
Process:
1. Solve more Learning Path in the Exact Path
account.
2. Provide students with
different activities using
different tools such as
Quizzes
Product:
Students will draw a
number line for the given
integers.
Content:
1. Recall prior knowledge
about fractions division.
2. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
1. Solve one Learning Path
in the Exact Path account
about the number line
Process:
4. Different ways to
implement differentiation
activities related their
needs.
5. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
Divide the fractions by
dividing the numerator.
2. Provide students with different activities
using different tools such as
Nearpod, Worksheet
Product:
Explore the fraction division with the Area.
6
Exploration of division of two
fractions with unlike
denominators using several
methods.
Content:
1. High order thinking questions and realworld questions will be provided.
2. Extra Classwork/Math Journal will be given
related to each topic.
3. Challenging tasks will be given related to
the interpreting the integers
Process:
1. Solve more Learning Path in the Exact Path
account.
2. Provide students with different activities
using different tools such as
Product: Anchor chart for fraction division.
Content:
1. Recall prior knowledge
about the fractions.
Find the reciprocal. 12
2. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
Two numbers are
reciprocals of each other,
if multiply their product
is 1.
3. Solve one Learning Path
in the Exact Path account
about the number line
Process:
1. Different ways to
implement differentiation
activities related their
needs.
2. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
7
The identification of quotient
of a mixed number or a
fraction and a mixed number,
fraction, or whole number.
Content:
1. High order thinking questions and realworld questions will be provided.
How could you find the quotient without the
use of a model?
2. Extra Classwork/Math Journal will be given
related to each topic.
3. Challenging tasks will be given related to
the interpreting the integers.
Process:
1. Solve more Learning Path in the Exact Path
account.
2. Provide students with different activities
using different tools
Product:
Solve real world problems.
Pg. 73Q11,12
8
Addition, subtraction, and
division multi digit decimals to
the thousandths with or
without a model and
multiplying multi-digit
decimals up to thousandths.
Content:
1. High order thinking questions and realworld questions will be provided.
Divide the fraction by
multiplying by the
reciprocal of the divisor.
Content:
1. Recall prior knowledge
of mixed numbers
2. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
3. Solve one Learning Path
in the Exact Path account
about the number line
Process:
1. Different ways to
implement differentiation
activities related their
needs.
2. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
Multiply simple
fractions.
Content:
1. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
2. Extra Classwork/Math Journal will be
given related to each topic.
3. Challenging tasks:
Process:
1. Solve more Learning Path in the Exact
Path account.
2. Provide students with different activities
using different tools such as
Product:
Complete the mystery divisor by dividing
the number given in the middle of circle.
9
Writing and representing the
ratio in three different ways
given a diagram or a
description
Content:
1. High order thinking questions and realworld questions will be provided.
What is the difference between a partto-part ratio and a part-to-whole ratio in
this problem?
Lois wants to make 20 batches, and she
uses 5 cups of sour cream and 20 cups
of milk. Evaluate her work.
2. Solve one Learning Path
in the Exact Path account
about the number line.
Process:
1. Different ways to
implement differentiation
activities related their
needs.
2. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
Students will solve
simple questions for
division.
Content:
1. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
What does a ratio of 2
orange kittens to 4 black
kittens mean?
2. Solve one Learning Path
in the Exact Path account
about the number line
2. Extra Classwork/Math Journal will be
given related to each topic.
3. Challenging tasks will be given related
to part to part and part to whole ratios.
Process:
1. Different ways to
implement differentiation
activities related their
needs.
2. Provide students with
different activities using
different tools such as
Quizizz, Nearpod
Product:
Students will draw a
spider web to show
examples.
Process:
1. Solve more Learning Path in the Exact
Path account.
2. Provide students with different activities
using different tools such as
Worksheet
Product:
Visit the supermarket to explore the use of
rates and ratios in real life and present to the
class in form of ppt.
10
Comparison and use of ratio
reasoning with circle graphs of
ratio and rates
Content:
1. High order thinking questions and realworld questions will be provided.
How could you use the ratio to predict
how much frozen concentrate will be
needed if you use 32 cups of water?
Content:
1. Recall the prior
knowledge of equivalent
fractions.
Find two equivalent
fractions, one by
2. Extra Classwork/Math Journal will be
given related to each topic.
3. Challenging tasks will be given related
to comparing ratios and rates.
Process:
1. Solve more Learning Path in the Exact
Path account.
2. Provide students with different activities
using different tools such as
Nearpod
Product:
Solve the word problems on an A4 size paper.
multiplying and one by
dividing.
2. Suitable tasks will be
given to increase the
participation in the
classwork/Math Journal.
Complete each given
patterns and describe
who are the patterns
related.
3. Solve one Learning Path
in the Exact Path account
about the number line
Process:
1. Different ways to
implement differentiation
activities related their
needs.
2. Provide students with
different activities using
different tools such as
Worksheet
Product:
Define Ratio and Rate
along with examples.
Create an anchor-chart of “Apply Ratios and Rates
to Measurement”
On-Going Assessment Strategies
1- Weekly Learning Check.
2- Nearpod activities.
3- Exit ticket.
4- Classwork/Math Journal.
Stage 2: Assessment Evidence
Summative Strategies
1- Mastery Test.
2- Performance Task.