5th​
​ Grade GT Students to 7th​
​ Grade PreAP
The skills listed below are critical for student’s 7th​
​ grade PreAP math readiness​. This does not represent all of the TEKS covered in the 6th​
​ grade PreAP course. ​To
provide some examples of instruction, listed below are videos and activities for practice from Khan Academy (​www.khanacademy.com​).
Numerical Representations and Relationships
Skill
Video
Practice
Generate equivalent forms of fractions, decimals, and percents (6.4G)
Convert decimal to fraction
http://tinyurl.com/mcch86n​ ​(decimal to simplified fraction)
http://tinyurl.com/lr7ozxd​ ​(converting decimals to fractions 1)
http://tinyurl.com/lqnywdq​ ​(converting decimals to fractions 2)
Convert fraction to decimal
http://tinyurl.com/qxypcpr​ ​(fraction to decimal)
http://tinyurl.com/lhbl8vy​ ​(fractions to decimal example)
http://tinyurl.com/mbmhx7v​ ​(fraction to decimal rounding)
http://tinyurl.com/me5sj75​ ​(converting fractions to decimals)
Convert percent to decimal
http://tinyurl.com/n9hfxnf​ ​(converting percent to decimal and fraction)
http://tinyurl.com/kf458rv​ ​(converting percents to decimals)
http://tinyurl.com/ndwdaey​ ​(converting percents to decimals example 2)
http://tinyurl.com/qzcgzwc​ ​(converting percents to decimals)
Convert decimal to percent
http://tinyurl.com/p69a5v4​ ​(converting decimals to percents)
http://tinyurl.com/kefyqs6​ ​(converting decimals to percents 2)
http://tinyurl.com/p7es8uq​ ​(converting decimals to percents)
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Computations and Algebraic Relationships
Skill
Video
Practice
Generate equivalent numerical expressions, using the properties of operations (6.7D)
Properties of
Operations
http://tinyurl.com/l58gdkr​ ​(commutative law of addition)
http://tinyurl.com/p94wjmn​ ​(commutative law of multiplication)
http://tinyurl.com/orxoo65​ ​(associative law of addition)
http://tinyurl.com/lk5z6o8​ ​(associative law of multiplication)
http://tinyurl.com/ogp2fkw​ ​(commutative and associative property)
http://tinyurl.com/qhhyhzq​ ​(identity property of 1)
http://tinyurl.com/ncu2cp6​ ​(identity property of 1 – second example)
http://tinyurl.com/n3hkxsj​ ​(identity property of 0)
http://tinyurl.com/oqq7b7l​ ​(inverse property of addition)
http://tinyurl.com/pku9cas​ ​(inverse property of multiplication)
http://tinyurl.com/lv6zbnw​ ​(distributive property explained)
http://tinyurl.com/o4v4348​ ​(distributive property explained 2)
http://tinyurl.com/kvawmde​ ​(distributive property practice)
http://tinyurl.com/mlah3mb​ ​(distributive property algebraic expressions)
http://tinyurl.com/o3o7e6x​ ​(distributive property exercise examples)
http://tinyurl.com/n3yqfcu​ ​(distributive property)
Apply understandings of operations to solve problems with rational numbers in various problem solving situations. (6.3D, 7.3A, 7.3B)
Integers:
Absolute value
http://tinyurl.com/prc2lnw​ ​(absolute value and number lines)
Integers:
Adding and Subtracting
http://tinyurl.com/l43qb8h​ ​(learn how to add and subtract negative numbers)
http://tinyurl.com/nt4pquh​ ​(adding negative numbers)
http://tinyurl.com/pg4hb7q​ ​(adding numbers with different signs)
http://tinyurl.com/lyk5eja​ ​(subtracting a negative = adding a positive)
http://tinyurl.com/l83qg48​ ​(negative number word problem)
Integers:
Multiplying and
Dividing
Summer 2015
http://tinyurl.com/m8yvav3​ ​(multiplying positive and negative numbers)
http://tinyurl.com/qa7pfu9​ ​(why a negative times a negative is a positive)
http://tinyurl.com/pgzuaoj​ ​(why a negative times a negative makes intuitive sense)
http://tinyurl.com/mmanwlc​ (dividing positive and negative numbers)
http://tinyurl.com/mboyxnt​ ​(multiplying numbers with different signs)
http://tinyurl.com/p5g6yjz​ ​(finding absolute values)
http://tinyurl.com/m5wwsmp​ ​(adding negative numbers)
http://tinyurl.com/ow7s6ls​ ​(subtracting negative numbers)
http://tinyurl.com/qgxwwtv​ ​(interpreting negative numbers)
http://tinyurl.com/l4qrjav​ (multiplying and dividing negative
numbers)
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Fractions:
Adding and Subtracting
http://tinyurl.com/lfezsc8​ ​(adding fractions: different denominators)
http://tinyurl.com/osyjo4a​ ​(adding fractions: common denominators)
http://tinyurl.com/o5rbx6t​ ​(subtracting fractions: different denominators)
http://tinyurl.com/ox6ode5​ ​(adding fractions with unlike denominators: word problem)
http://tinyurl.com/m2ue6pb​ ​(subtracting fractions with unlike denominators: word problem)
http://tinyurl.com/lnm3t24​ ​(adding mixed numbers)
http://tinyurl.com/mhtpruz​ ​(adding mixed numbers with unlike denominators)
http://tinyurl.com/atw3qed​ ​(adding mixed numbers word problem)
http://tinyurl.com/knqz6oj​ ​(subtracting mixed numbers)
http://tinyurl.com/n8dxhxt​ ​(subtracting mixed numbers 2)
http://tinyurl.com/caqgjc8​ ​(subtracting mixed numbers word problem)
http://tinyurl.com/k6yxyph​ ​(adding mixed numbers with like denominators)
http://tinyurl.com/mkxnbzg​ ​(subtracting nixed numbers with like denominators)
http://tinyurl.com/pjzsafr​ ​(adding mixed numbers with unlike denominators example 2)
http://tinyurl.com/mmqokaz​ ​(subtracting mixed numbers with unlike denominators example
2)
http://tinyurl.com/kfezpzc​ ​(adding fractions with unlike
denominators)
http://tinyurl.com/owehjjt​ ​(subtracting fractions with unlike
denominators)
http://tinyurl.com/n2fpnue​ ​(adding and subtracting fractions
with unlike denominators word problems)
http://tinyurl.com/mgvjjm7​ ​(adding and subtracting mixed
numbers with like denominators)
http://tinyurl.com/k9g7pqy​ ​(adding and subtracting mixed
numbers with unlike denominators)
Fractions:
Multiplying
http://tinyurl.com/kdottcl​ ​(multiplying fractions and whole numbers)
http://tinyurl.com/lx2fhwn​ ​(multiplying two fractions: an explanation)
http://tinyurl.com/ntggk24​ ​(multiplying two fractions: example)
http://tinyurl.com/omlof7b​ ​(multiplying fractions: visualizing)
http://tinyurl.com/q4xwfhu​ ​(multiplying fractions and whole numbers: two approaches)
http://tinyurl.com/o2xu8sx​ ​(multiplying two fractions: number line approach)
http://tinyurl.com/mp6psoc​ ​(multiplying mixed numbers)
http://tinyurl.com/k4xl35p​ ​(multiplying fractions and whole numbers: mixed number answer)
http://tinyurl.com/knwd6mq​ ​(multiplying fractions and whole
numbers)
http://tinyurl.com/qd96zu8​ ​(visually understanding multiplying
fractions and whole numbers)
http://tinyurl.com/l3fd2kq​ ​(understanding multiplying fractions
by fractions)
http://tinyurl.com/khh8vo7​ ​(multiplying positive fractions)
http://tinyurl.com/kb98czw​ ​(multiplying mixed numbers)
Fractions:
Dividing
http://tinyurl.com/qdxkjtn​ ​(understanding division of fractions)
http://tinyurl.com/omcs3el​ ​(dividing fractions example)
http://tinyurl.com/kknn6gm​ ​(dividing fractions example 2)
http://tinyurl.com/qbhqwrf​ ​(dividing whole numbers and fractions: t-shirts)
http://tinyurl.com/obsbvkv​ ​(dividing whole numbers and fractions: potpourri)
http://tinyurl.com/l3xcym9​ ​(understanding dividing fractions by
fractions)
http://tinyurl.com/kgaxf9m​ ​(dividing positive fractions)
http://tinyurl.com/m3qbpup​ ​(dividing fractions by fractions and
whole numbers applications)
http://tinyurl.com/lylsqz7​ ​(dividing fractions by fractions word
problems)
http://tinyurl.com/mgbfb4l​ ​(adding decimals: example 1)
http://tinyurl.com/kxm5ry3​ ​(adding decimals: example 2)
http://tinyurl.com/ln2ao3f​ ​(adding decimals: example 3)
http://tinyurl.com/ko996ff​ ​(subtracting decimals example 1)
http://tinyurl.com/m8m88ff​ ​(subtracting decimals example 2)
http://tinyurl.com/mtm7gzs​ ​(adding decimals word problem)
http://tinyurl.com/qesehml​ ​(adding and subtracting decimals word problem)
http://tinyurl.com/mc2lbam​ ​(adding decimals 2)
http://tinyurl.com/m5wbuvv​ ​(subtracting decimals 2)
http://tinyurl.com/ou7bqc4​ ​(adding and subtracting decimals
word problems)
Decimals:
Multiplying
http://tinyurl.com/kckl4rs​ ​(​Multiplying decimals example)
http://tinyurl.com/oreo856​ ​(multiplying challenging decimals)
http://tinyurl.com/pnjp5k5​ ​(multiplying decimals word problem)
http://tinyurl.com/kw2havk​ ​(multiplying decimals 3)
Decimals:
Dividing
http://tinyurl.com/m4u3v4u​ ​(dividing completely to get decimal answer)
http://tinyurl.com/qf8xdks​ ​(dividing by a multi-digit decimal)
http://tinyurl.com/lxhgudr​ ​(dividing completely)
http://tinyurl.com/m43xahc​ ​(dividing decimals 4)
Decimals​:
Adding and Subtracting
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Solve problems involving ratios, rates, and percents (7.4D)
Ratios and Proportions
http://tinyurl.com/navcebd​ ​(introduction to ratios)
http://tinyurl.com/nsl928b​ ​(ratios as fractions)
http://tinyurl.com/pxwpfd8​ ​(ratio word problem: boys to girls)
http://tinyurl.com/pgcoaq5​ ​(ratio word problem: centimeters to kilometers)
http://tinyurl.com/mr9ckpr​ ​(solving ratio problems with tables example 1)
http://tinyurl.com/pjkjxn4​ ​(solving ratio problems with tables example 2)
http://tinyurl.com/nhlrjap​ ​(solving ratio problems with graph)
http://tinyurl.com/lfmrhq4​ ​(writing proportions)
http://tinyurl.com/pl5fomc​ ​(solve a proportion with unknown variable)
http://tinyurl.com/qbpv7zs​ ​(solve a proportion with unknown variable word problem)
http://tinyurl.com/m3re6y5​ ​(constructing equations from proportions to solve problems)
Rates
http://tinyurl.com/pwul4cu​ ​(finding average speed or rate)
http://tinyurl.com/nryxram​ ​(solving unit rates problem)
http://tinyurl.com/obz9blg​ ​(solving unit price problem)
http://tinyurl.com/pjx639g​ ​(multiple rates word problem)
http://tinyurl.com/nx97d4z​ ​(Rate problems 0.5)
http://tinyurl.com/kxad75f​ ​(Rate problems 2)
Percent
http://tinyurl.com/ph6au77​ ​(finding a percentage)
http://tinyurl.com/pn79m9f​ ​(percent word problem example 2)
http://tinyurl.com/k7t3zho​ ​(percentage of a whole number)
http://tinyurl.com/nhxjhac​ ​(percent world problem example 1)
http://tinyurl.com/q393odw​ ​(percent word problem example 2)
http://tinyurl.com/qz3u5tj​ ​(percent word problem example 3)
http://tinyurl.com/mka26jv​ ​(percent word problem example 4)
http://tinyurl.com/ncolbvx​ ​(percent world problem example 5)
http://tinyurl.com/n6mdyvq​ ​(growing by a percentage)
http://tinyurl.com/nsrwvje​ ​(finding percents)
http://tinyurl.com/m9x5fpx​ ​(percentage word problems 1)
http://tinyurl.com/k9325mf​ ​(discount, tax, and tip word
problems)
http://tinyurl.com/lwkn3sd​ ​(markup and commission word
problems)
http://tinyurl.com/lmw5xke​ ​(representing ratios)
http://tinyurl.com/lberu5u​ ​(ratio word problems)
http://tinyurl.com/pdsy443​ ​(solving ratio problems with tables)
http://tinyurl.com/lfgfz5q​ ​(writing proportions)
http://tinyurl.com/ps925ve​ ​(proportions 1)
http://tinyurl.com/oo8zhl2​ ​(constructing proportions to solve
application problems)
Analyzing and identifying proportional relationships (7.4A)
Proportional
Relationships
http://tinyurl.com/mb9sq8s​ ​(analyzing and identifying proportional relationships)
http://tinyurl.com/pmc2ndd​ ​(analyzing proportional relationships in a graph)
http://tinyurl.com/lg27uek​ ​(analyzing proportional relationships from a table)
http://tinyurl.com/pg4bnl2​ ​(comparing proportional relationships)
http://tinyurl.com/o7kbzdh​ ​(constructing an equation for a proportional relationship)
http://tinyurl.com/nwb4xr5​ ​(analyzing and identifying
proportional relationships)
http://tinyurl.com/l3vsxvk​ ​(constructing and comparing
proportional relationships)
Use equations and inequalities to solve problems. (6.10A, 7.10A)
Summer 2015
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http://tinyurl.com/mp2c2k7​ ​(why we do the same thing to both sides: simple equations)
http://tinyurl.com/n8v3wbq​ ​(representing a relationships with a simple equation)
http://tinyurl.com/phmy8va​ ​(one-step equation intuition)
http://tinyurl.com/qh53lg2​ ​(dividing from both sides of an equation)
http://tinyurl.com/q4ddzlb​ ​(solving two-step equations)
http://tinyurl.com/ks2lway​ ​(one step equation intuition)
Solve one-variable,
one-step and two-step
equations
http://tinyurl.com/qfqkpnb​ ​(simple equations of the form ax = b)
http://tinyurl.com/lze7ovv​ ​(simple equations of the form x/a = b)
http://tinyurl.com/neyxh9c​ ​(simple equations of the form x + a = b)
http://tinyurl.com/kylshd6​ ​(simple equations: examples solving a variety of forms)
http://tinyurl.com/kperc82​ ​(adding and subtracting from both sides of an equation)
http://tinyurl.com/p6oryc5​ ​(solving a more complicated equation)
http://tinyurl.com/lncokua​ ​(example: two-step equations)
http://tinyurl.com/p2chemz​ ​(word problem: solving equations)
http://tinyurl.com/p9nxwh2​ ​(example: two-step equation with numerator x)
http://tinyurl.com/m2nwnhd​ ​(one-step equations with
multiplication)
http://tinyurl.com/k9th4e7​ ​(one-step equations with addition
and subtraction)
http://tinyurl.com/oz7488v​ ​(two-step equations)
Inequalities
http://tinyurl.com/mhmv8tb​ ​(inequalities: plotting on a number line)
http://tinyurl.com/mba9nlc​ ​(a simple inequality: plotting on a number line)
http://tinyurl.com/oswukln​ ​(inequality word problems)
http://tinyurl.com/m5jkbqb​ ​(inequality word problem: one variable)
http://tinyurl.com/kxqfr2o​ ​(multiplying and dividing with inequalities)
http://tinyurl.com/lxgohdj​ ​(multiplying and dividing with inequalities example)
http://tinyurl.com/l65onfg​ ​(constructing and solving a one-step inequality)
http://tinyurl.com/mtx6dxe​ ​(solving a two-step inequality)
http://tinyurl.com/q6n4qur​ ​(constructing and solving a two-step inequality)
http://tinyurl.com/pj4w56j​ ​(constructing, solving two-step inequality example)
http://tinyurl.com/oj485sk​ ​(inequalities on a number line)
http://tinyurl.com/lc8q546​ ​(using inequalities to describe
real-world contexts)
http://tinyurl.com/pnfzeof​ ​(one-step inequalities)
http://tinyurl.com/nbkc8bh​ ​(two-step inequalities)
http://tinyurl.com/oj9vnme​ ​(interpreting and solving linear
inequalities)
Model one-variable,
one-step and two-step
equations
Identify independent and dependent quantities. (6.6A)
Independent and
dependent quantities
Summer 2015
http://tinyurl.com/prajfn3​ ​(dependent and independent variables exercise: the basics)
http://tinyurl.com/lvqzc5t​ ​(dependent and independent variables exercise: graphing the
equation)
http://tinyurl.com/kqmqdq9​ ​(dependent and independent variables exercise: express the
graph as an equation)
http://tinyurl.com/puaze32​ ​(dependent and independent
variables)
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Geometry and Measurement
Skill
Video
Practice
Convert units within a measurement system. (6.4H)
Customary System
http://tinyurl.com/kahxde4​ ​(converting pounds to ounces)
http://tinyurl.com/kt75pf9​ ​(unit conversion: gallons to quarts, pints, and cups)
http://tinyurl.com/ps9gabb​ ​(converting yards into inches)
http://tinyurl.com/ogj3t6d​ ​(unit conversion word problem: yards to inches)
http://tinyurl.com/olwbgb7​ ​(units)
Graph points in all four quadrants using ordered pairs of rational numbers. (6.11A)
Graphing on the
coordinate plane
http://tinyurl.com/onogmlc​ ​(the coordinate plane)
http://tinyurl.com/qc98s9z​ ​(coordinate plane: plot ordered pairs)
http://tinyurl.com/pqfzpo9​ ​(coordinate plane: have all the points been graphed?)
http://tinyurl.com/q4vt749​ ​(coordinate plane: quadrants)
http://tinyurl.com/qgeb56w​ ​(coordinate plane: graphing points and naming quadrants)
http://tinyurl.com/kjm6xkn​ ​(coordinate plane: word problem exercise)
http://tinyurl.com/p2q9knd​ ​(points on the coordinate plane)
http://tinyurl.com/p4wfzpn​ ​(graphing points and naming
quadrants)
Determine the circumference and area of circles. (7.9B)
Radius, diameter, pi,
circumference, and area
of a circle
Summer 2015
http://tinyurl.com/o7xdevl​ ​(circles: radius, diameter, circumference and Pi)
http://tinyurl.com/p5d7mhl​ ​(labeling parts of a circle)
http://tinyurl.com/pby4cwp​ ​(area of a circle)
http://tinyurl.com/npkcfrk​ ​(circumference of a circle)
http://tinyurl.com/lwy95es​ ​(area of a shaded region)
http://tinyurl.com/n4yyqsr​ ​(impact of a radius change on the area of a circle)
http://tinyurl.com/mszv9wx​ ​(radius, diameter, and
circumference)
http://tinyurl.com/mwdvxzo​ ​(area of a circle)
http://tinyurl.com/lqx9uh5​ ​(area and circumference of circles)
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