Teaching pack · Year 10 Algebraseegongsik /au
Inequalities and Simultaneous Equations: a week of ready-to-teach maths
Five days of lessons for Year 10 Algebra. Print this pack and the week is prepared.
AC9M10A02
solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
Start here: five minutes to Monday
- Skim the week at a glance.
- Print the five days (plan + worksheet each).
- Cut out the card sheet once.
- Open the free interactive unit on your board.
- Teach from the plan.
On the board
On-screen pictures: “An inequality\'s answer is a range”, “Dividing by a negative flips the sign”, “Simultaneous equations: where two lines cross”, “Solving by substitution”, “An inequality in two variables shades a region”.
seegongsik.com/au/y10/algebra/AC9M10A02
Aligned to Australian Curriculum V9 (AC9M10A02). Original material from seegongsik. Descriptors (c) ACARA, CC BY 4.0.
The week at a glance5 lessons
The week at a glance
One lesson a day. Run them in order where you can.
| Day | Lesson | Children learn and do | On screen |
|---|---|---|---|
| 1 | An inequality's answer is a range | Practise the idea with talk, board and worksheet | Board: An inequality's answer is a range |
| 2 | Dividing by a negative flips the sign | Practise the idea with talk, board and worksheet | Board: Dividing by a negative flips the sign |
| 3 | Simultaneous equations: where two lines cross | Practise the idea with talk, board and worksheet | Board: Simultaneous equations: where two lines cross |
| 4 | Solving by substitution | Practise the idea with talk, board and worksheet | Board: Solving by substitution |
| 5 | An inequality in two variables shades a region | Practise the idea with talk, board and worksheet | Board: An inequality in two variables shades a region |
Materials
- This pack printed.
- Pencils and the board or projector.
- Optional counters or rulers if a day plan names them.
A note home
This week in maths we work on inequalities and simultaneous equations. Ask: What did you practise today?
seegongsik.com/au/y10/algebra/AC9M10A02/pack
Day 1 · Teacher planDay 1 of 5
An inequality\'s answer is a range
Children practise “An inequality\'s answer is a range” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain an inequality\'s answer is a range in Year 10 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “An inequality\'s answer is a range”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “An inequality\'s answer is a range”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “An inequality\'s answer is a range” on screen for the main block.
seegongsik.com/au/y10/algebra/AC9M10A02
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about an inequality\'s answer is a range.
Day 1 · Worksheet
An inequality\'s answer is a range
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 2 · Teacher planDay 2 of 5
Dividing by a negative flips the sign
Children practise “Dividing by a negative flips the sign” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain dividing by a negative flips the sign in Year 10 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “Dividing by a negative flips the sign”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “Dividing by a negative flips the sign”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “Dividing by a negative flips the sign” on screen for the main block.
seegongsik.com/au/y10/algebra/AC9M10A02
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about dividing by a negative flips the sign.
Day 2 · Worksheet
Dividing by a negative flips the sign
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 3 · Teacher planDay 3 of 5
Simultaneous equations: where two lines cross
Children practise “Simultaneous equations: where two lines cross” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain simultaneous equations: where two lines cross in Year 10 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “Simultaneous equations: where two lines cross”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “Simultaneous equations: where two lines cross”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “Simultaneous equations: where two lines cross” on screen for the main block.
seegongsik.com/au/y10/algebra/AC9M10A02
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about simultaneous equations: where two lines cross.
Day 3 · Worksheet
Simultaneous equations: where two lines cross
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 4 · Teacher planDay 4 of 5
Solving by substitution
Children practise “Solving by substitution” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain solving by substitution in Year 10 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “Solving by substitution”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “Solving by substitution”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “Solving by substitution” on screen for the main block.
seegongsik.com/au/y10/algebra/AC9M10A02
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about solving by substitution.
Day 4 · Worksheet
Solving by substitution
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Day 5 · Teacher planDay 5 of 5
An inequality in two variables shades a region
Children practise “An inequality in two variables shades a region” with talk, the board picture, and a short worksheet. About 40 minutes.
We are learning to
- explain an inequality in two variables shades a region in Year 10 words,
- use the board picture to check thinking,
- record an example on paper.
Success criteria
- I can show one example of today’s idea.
- I can say the idea in a short sentence.
You need
- interactive unit open on “An inequality in two variables shades a region”,
- worksheet (next sheet), one per child,
Lesson flow (about 40 minutes)
| 5 min | Warm-up Ask: “What might help us today?” |
| 10 min | On the board Open “An inequality in two variables shades a region”. Ask: “What changed on the screen?” |
| 15 min | Worksheet Children complete the day sheet. |
| 10 min | Share Ask: “In one sentence, what was today’s idea?” |
On the board
Leave “An inequality in two variables shades a region” on screen for the main block.
seegongsik.com/au/y10/algebra/AC9M10A02
Watch for
- Skipping the board -- bring them back to the picture.
- Correct answer with no explanation -- ask how do you know?
Answers and look-fors
- Meeting the idea sounds like a clear sentence about an inequality in two variables shades a region.
Day 5 · Worksheet
An inequality in two variables shades a region
NameClassDate
Use the board picture. Show your thinking.
1. Draw or write one example from the board.
2. What is the main idea in your words?
3. Make a second example of your own.
I know I am right because
I can teach this idea to a partner:Yes □ No □
Cut-out cardsReuse all week
Talk cards for Inequalities and Simultaneous Equations
Cut out. Hold up a card and give an example.
An inequality's answer is a range
Give an example.
Dividing by a negative flips the sign
Give an example.
Simultaneous equations: where two lines cross
Give an example.
Solving by substitution
Give an example.
An inequality in two variables shades a region
Give an example.
Store in an envelope labelled AC9M10A02.
Mini-check · End of week
Show what you know: Inequalities and Simultaneous Equations
NameClassDate
Work on your own. Use pictures or numbers.
1. Draw or write the big idea of this week.
2. Give one clear example.
3. Give a second different example.
4. What mistake should we watch for?
I can explain this idea to a partner:Yes □ No □
Mini-check · AnswersTeacher
Answers and look-fors
- Item 1 names the unit idea (inequalities and simultaneous equations) in child words.
- Items 2-3: two different correct examples.
- Item 4: a real muddle for this topic.
Use day-plan look-fors across the week.