NINTH - GROUP 1

date: MAY 2TH

topic: SYSTEM OF LINEAR EQUATIONS.


Problem 1: Ages

Ana's age is twice her brother Juan's age. Five years ago, the sum of their ages was 30 years. How old are Ana and Juan now?

Suggested setup:
Let x be Juan's age and y be Ana's age.
Equations:
y = 2x
(x - 5) + (y - 5) = 30

Problem 2: Purchases

Carlos bought 3 notebooks and 2 pencils for $8,000. Ana bought 2 notebooks and 4 pencils for $7,200. What is the price of one notebook and one pencil?

Suggested setup:
Let x be the price of a notebook and y the price of a pencil.
Equations:
3x + 2y = 8000
2x + 4y = 7200

Problem 3: Animals

On a farm, there are chickens and pigs. In total, there are 30 animals and 80 legs. How many chickens and how many pigs are there?

Suggested setup:
Let x be the number of chickens (2 legs) and y the number of pigs (4 legs).
Equations:
x + y = 30
2x + 4y = 80

Problem 4:

In a corral there are chickens and rabbits. There are 35 heads and 94 legs. How many chickens and how many rabbits are there?

Problem 5:

A movie theater sells tickets for adults at $12,000 and for children at $8,000. In one performance, 120 tickets were sold and $1,160,000 were raised. How many tickets of each type were sold?



date: MAY 2TH

topic: SYSTEM OF LINEAR EQUATIONS.

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date: april 11th

topic: worksheet


evaluation πŸ‘ˆπŸ‘ˆ



date: MARCH 14th

topic: LINEAR INEQUATIONS





date: FEBRUARY 21ST

topic: PRE-ALGEBRA








CONTENTS OF THE FIRST term

NINTH GRADE

THEMES

SPECIFIC CONTENT OR TOPICS

COMPETENCES

NUMERICAL

Real numbers.

Linear inequalities and set solution.

It uses the equivalence and order properties of real numbers to perform operations between them.

It solves linear inequalities and finds its set solution.

VARIATIONAL

Linear function.

Systems of linear equations.

Graph linear functions and relate them to their respective algebraic expression.

Solves problems of application of systems of linear equations.

RANDOM

Non-core position measures (quartiles, deciles, and percentiles)

Compare the distributions of the datasets based on the measures of central tendency and location.

SPATIAL

Area of circles and circular sectors: number pi. (exercises such as decimal and variables)

Solves geometric problems of circles and circular sectors.

WORKSHOOP 9°

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