5. Describe how bar models represent mathematical
equations and unknown values.
1
Evaluate algebraic equations using bar models.
2
Demonstrate cooperation when solving equations
using bar models within the group.
4
Show willingness to use bar models as a tool for
solving equations.
3
LEARNING OBJECTIVES:
6. Equation
KEY CONCEPTS
Algebraic
Equation
is a statement that two
mathematical expressions are
equal.
The symbol for an equation is the
equal sign,
that involves only algebraic
expressions, meaning it includes
variables, constants, and algebraic
operations
7. Math problems can be visualized through
bar modeling to represent known and
unknown data. Bar models are one such
tool that helps us visualize a given math
problem using rectangles or bars. It is not
a technique of computation, but rather a
diagram that helps visualize the problem.
A bar model is a way of using rectangles to
represent numbers and operations in
math problems. It can help you visualize
the relationships between numbers and
find the unknown values.
BAR MODELS
8. SOLVING PROBLEMS WITH BAR
MODELLING
PART-PART-WHOLE
WHOLE
WHOLE = PART + PART
PART = WHOLE – PART
9. SOLVING PROBLEMS WITH BAR
MODELLING
EQUAL PARTS OF A WHOLE
Whole = Part x Number of
Parts
Part = Whole ÷ Number of
Parts
10. SOLVING PROBLEMS WITH BAR
MODELLING
COMPARISON
Difference = A - B
A = B +
Difference
11. SOLVING PROBLEMS WITH BAR
MODELLING
PART-PART-WHOLE AND COMPARISON
Whole = A + B
Difference = A-
B
12. Siony was able to collect 68
photo cards which she can trade.
Andrea has seven times as many
cards as Siony. Andrea shares her
cards equally between herself
and her friends Thea, Adel, and
Iris. How many cards do Andrea
and Siony have now?
EXAMPLE
68(7) = 476 photo cards Andrea
has from the start
476 ÷ 4 = 119 photo cards
Andrea has when divided with
friends equally
68 + 119 = 187 photo cards Sion
has when Andrea shared with
her.
