Question 1 (26) 1.1. Solve and explain each step to grade 6 mathematics learners the following multiplication and division calculations involving fractions. 1.1.1. 684÷ 612 (6) 1.1.2. 714× 418 (4) 1.1.3. 316× 624 (6) 1.1.4. 817÷ 124 (4) 1.2. Modelling refers to the idea that learners build in t...
1.1.1 Solve and explain each step to grade 6 mathematics learners the following
multiplication and division calculations involving fractions.
1.1.1 Simplify the mixed number 6 8/4 to 8
Simply the fraction 6/12 to 1/2
Rewrite the division as 8÷ 1/2
Understand the dividing by 1/2 is the same as multiplying by 2
Multiply 8 by 2 to get 1
=16
1.1.2
Simply 7/14 to 1/2
Simply 4/18 to 2/9
Multiply the numerators 1 X 2=2
Multply 2/18 to 1/9
=1/9
1.1.3
Convert 3 1/6 to the improer fraction 19/16
Simply 6 2/4 to 6 1/2 and then convert to 13/2
Multiply the numerators 19x13= 247
Multiply the denominators 6x2 =12
The product is 247/12
Convert 247/12 to the mixed number 20 7/12
= 20 7/12
, lOMoARcPSD|31863004
1.1.4
Simply 12/14 to 3
Rewrite 3 as 3/1
Rewrite 8/17 ÷ 3 as 8/17 ÷ 3/1
Dividing by 3/1 is the same as multiplying by 1/3
Multiply 8/17 1/3 to get 8/51
= 8/51
1.2. Modelling refers to the idea that learners build in their minds and play out with
objects or in picture form on paper sometimes to solve problems. Give and explain
at least three benefits that you may achieve in your primary mathematics class by
employing modelling.
1. Enhanced Conceptual Understanding
Explanation:
When learners use objects or pictures to model mathematical problems, they can see and
manipulate the abstract concepts in a tangible form. This concrete representation helps
them understand the underlying principles more deeply.
Many learners are visual learners and can grasp concepts better when they see them
represented visually. Models and diagrams can illustrate relationships and operations that
might be difficult to understand through numbers and symbols alone.
Connection to Real World: Modelling often involves real-world contexts, making abstract
concepts more relatable and easier to understand. For example, using blocks to represent
fractions can help students see how fractions are parts of a whole.
Example:
Using physical blocks to demonstrate fractions. If a learner sees that 1/2 of a block plus
another 1/2 makes a whole block, they understand the concept of fractions adding up to
one more clearly.
2. Improved Problem-Solving Skills
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller gabrielmusyoka940. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R48,25. You're not tied to anything after your purchase.
